From a barrel of colored marbles, you randomly select 5 blue, 2 yellow, 3 red,4 green, and 2 purple. Find the experimental probability of randomly selecting a marble that is NOT yellow.
1) 9/16
2) 7/8
3) 8/9
4) 3/4
I think 7/8
Thanks.
7/8
1 - probability of yellow
1 - 2/16
14/16
7/8
So it turns out I agree :)
does anyone have the answers to the whole unit test?
Can K baby not see that there is clearly a 7/8
hey bot
From a barrel of colored marbles, you randomly select 6 blue, 4 yellow, 2 red, 3 green, and 5 purple marbles. Find the experimental probability that is not yellow
The total number of marbles in the barrel is 6+4+2+3+5=20.
The number of marbles that are not yellow is 20-4=16.
Therefore, the experimental probability of randomly selecting a marble that is not yellow is 16/20 or 4/5.
hey bot
A survey shows that 62% of car owners prefer two-door cars, 26% prefer four-door cars. 12% have no preference. You ask 400 people. How many do you think will prefer the two-door cars?
Out of 400 people, the percentage who prefer two-door cars can be estimated as:
62% of 400 = 0.62 x 400 = 248
Therefore, you can estimate that about 248 people out of 400 will prefer the two-door cars.
thanks bot!
You're welcome! If you have any more questions, feel free to ask.
Hey bot
Tony works in a factory that produces 1,000 computers each day. When50 computers were sampled, it was found that 7 were defective. Estimate how many defective computers are made each day.
To estimate the number of defective computers made each day, you can use the following proportion:
(defective computers / total computers) = (defective computers in sample / total computers in sample)
Let x be the number of defective computers made each day. Then, we can set up the proportion as:
x / 1000 = 7 / 50
To solve for x, we can cross-multiply and simplify:
50x = 7,000
x = 7,000 / 50
x = 140
Therefore, we can estimate that 140 defective computers are made each day.
Hey bot
The spinner is divided into equal parts. Use a tree diagram to find the probability that the spinner will land on a consonant or both times if the spinner is spun twice.
Unfortunately, I am unable to generate images or diagrams as a language model AI. But I can provide you with the steps on how to create a tree diagram and the probability of the spinner landing on a consonant twice or at least once.
To create a tree diagram, draw two branches extending from each of the six sections of the spinner. Label one branch "consonant" and the other branch "vowel." Then, extend two branches from each of those branches to show the possible outcomes of spinning the spinner a second time.
To find the probability that the spinner will land on a consonant on both spins, multiply the probability of landing on a consonant on the first spin by the probability of landing on a consonant on the second spin. The probability of landing on a consonant on any given spin is 4/6, or 2/3. Therefore, the probability of landing on a consonant on both spins is (2/3) x (2/3) = 4/9.
To find the probability that the spinner will land on a consonant on at least one spin, you can find the probability of landing on a consonant on the first spin and not the second, plus the probability of landing on a consonant on the second spin and not the first, plus the probability of landing on a consonant on both spins. Finding the probability of not landing on a consonant is the same as finding the probability of landing on a vowel, which is 2/6, or 1/3. Therefore, the probability of landing on a consonant on at least one spin is: (2/3 x 1/3) + (1/3 x 2/3) + (2/3 x 2/3) = 4/9 + 4/9 + 4/9 = 12/9 = 4/3. However, probabilities cannot be greater than 1, so we can put this probability in the reduced form of 1.
Hey bot
An ice cream shop offers 5 different flavors of ice cream and 12 different toppings. How many choices are possible for a single serving of ice cream with one topping
To find the number of possible choices for a single serving of ice cream with one topping, you can use the multiplication principle of counting.
There are 5 different flavors of ice cream to choose from, and for each flavor, there are 12 different toppings available. So the total number of choices is:
5 x 12 = 60
Therefore, there are 60 possible choices for a single serving of ice cream with one topping.
Hey bot
Tamara likes to mix and match her 4 scarves, 3 pairs of gloves, and 2 hats. The colors are in the table. On Monday, she randomly picks out a scarf, hat, and a pair of gloves. What is the probability of Tamara choosing a pair of brown gloves and a red hat?
Tamara has 4 different scarves, 3 different pairs of gloves, and 2 different hats. Since she is selecting these items at random, we can use the multiplication rule of probability to find the probability of her selecting a pair of brown gloves and a red hat.
The probability of selecting a pair of brown gloves is 1/3, since there are 3 pairs of gloves and only 1 of them is brown.
The probability of selecting a red hat is 1/2, since there are 2 hats, and only 1 of them is red.
The probability of selecting a particular scarf doesn't matter in this case, since it doesn't affect the probability of selecting a brown pair of gloves and a red hat.
Using the multiplication rule, we simply multiply the probability of selecting a pair of brown gloves by the probability of selecting a red hat:
(1/3) x (1/2) = 1/6
Therefore, the probability of Tamara choosing a pair of brown gloves and a red hat is 1/6.
hey bot
If a coin is tossed and a number cube is rolled, what is the probability of that the coin shows heads and the number cube shows three
The probability of getting heads on a coin toss is 1/2, since there are two equally likely outcomes (heads and tails).
The probability of rolling a three on a number cube is 1/6, since there are six equally likely outcomes (numbers 1 through 6) and only one of them is a three.
To find the probability of both events happening together (heads and three), you simply multiply the individual probabilities:
(1/2) x (1/6) = 1/12
Therefore, the probability of getting heads on a coin toss and a three on a number cube is 1/12.
hey bot
On Friday nights the local diner serves three main entrees, each with a choice of vegetable. The entrees are beef, chicken, and fish. The vegetables are spinach, broccoli, and carrots. How many possible dinners (entree and vegetable combinations) does the dinner serve. List them
There are 3 different entrees and 3 different vegetable choices for each entree.
So, the total number of possible dinners is 3 x 3 = 9.
The possible dinners (entree and vegetable combinations) are:
1. Beef with spinach
2. Beef with broccoli
3. Beef with carrots
4. Chicken with spinach
5. Chicken with broccoli
6. Chicken with carrots
7. Fish with spinach
8. Fish with broccoli
9. Fish with carrots
From a barrel of colored marbles, you randomly select 5 blue, 2 yellow, 3 red, 4 green, and 2 purple marbles. Find the experimental probability of randomly selecting a marble that is not yellow.
A. nine over sixteen
B. seven over eight
C. eight over nine
D. three over four
First, find the total number of marbles in the barrel:
5 + 2 + 3 + 4 + 2 = 16
The number of marbles that are not yellow is:
5 + 3 + 4 + 2 = 14
So, the experimental probability of randomly selecting a marble that is not yellow is:
14/16 = 7/8
Therefore, the answer is (B) seven over eight.
The probability of winning a game is 25%. How many times should you expect to win if you play 36 times?
A. 3 times
B. 7 times
C. 9 times
D. 11 times
To find the expected number of wins, multiply the number of times the game is played by the probability of winning:
Expected number of wins = 36 x 0.25 = 9
Therefore, you should expect to win 9 times if you play the game 36 times. The answer is (C) 9 times.
A survey showed that 56% of car owners prefer four-door cars, 31% prefer two-door cars, and 13% have no preference. You ask 300 people. How many do you think will prefer four-door cars?
A. 218 people
B. 168 people
C. 233 people
D. 68 people
Out of 300 people, we can estimate the number of people who will prefer four-door cars using the given percentage:
56% of 300 = 0.56 x 300 = 168
Therefore, we can estimate that 168 people out of 300 will prefer four-door cars.
Therefore, the answer is (B) 168 people.
Sally works in a factory that produces 1,000 televisions each day. When 40 televisions were sampled, it was found that 6 were defective. Estimate how many defective televisions are made each day.
A. 17 televisions
B. 96 televisions
C. 150 televisions
D. 360 televisions
To estimate the number of defective televisions made each day, we can use the proportion method:
(defective televisions / total televisions) = (defective televisions in sample / total televisions in sample)
Let x be the number of defective televisions made each day. Then, we can set up the proportion as:
x / 1000 = 6 / 40
To solve for x, we can cross-multiply and simplify:
40x = 6,000
x = 6,000 / 40
x = 150
Therefore, we can estimate that 150 defective televisions are made each day.
Therefore, the answer is (C) 150 televisions.
he spinner is divided into equal parts. Use a tree diagram to find the probability that the spinner will land on a consonant the first time and a vowel the second time if the spinner is spun twice.
A circle is divided equally into three sections.· One of the sections is labeled with an upper E.
· One of the sections is labeled with an upper U.
· One of the sections is labeled with an upper N.
· An arrow originating from the center of the circle is pointing at the section labeled with upper U.
A. two-thirds
B. two-ninths
C. three-fourths
D. start fraction 5 over 9 end fraction
To construct the tree diagram, draw two branches extending from each of the three sections of the spinner. Label one branch "consonant" and the other branch "vowel." Then, extend two branches from each of those branches to show the possible outcomes of spinning the spinner a second time. The tree diagram will have nine branches in total.
Out of the nine possible outcomes, three of them represent landing on a consonant followed by a vowel. These are:
C-V (where C represents a consonant and V represents a vowel)
C-C
C-V
So, the probability of landing on a consonant the first time and a vowel the second time is 3 out of 9, or 1/3.
Therefore, the answer is not listed among the choices.
An ice cream shop offers 5 different flavors of ice cream and 12 different toppings. How many choices are possible for a single serving of ice cream with one topping?
A. 18 choices
B. 22 choices
C. 46 choices
D. 60 choices
To find the number of possible choices for a single serving of ice cream with one topping, you can use the multiplication principle of counting. There are 5 different flavors of ice cream and 12 different toppings available. So, the total number of possible choices is:
5 x 12 = 60
Therefore, there are 60 possible choices for a single serving of ice cream with one topping.
Therefore, the answer is (D) 60 choices.
Sammy likes to mix and match her 4 necklaces, 2 bracelets, and 3 hats. The colors are listed in the table. On Monday, she randomly picks a bracelet, a necklace, and a hat. What is the probability of Sammy choosing a red necklace and yellow bracelet?
Necklace Bracelet Hat
Red Red Silver
Green Yellow Yellow
Gold Green
Silver
A. one-half
B. one-fifth
C. one-ninth
D. one-eighth
Since Sammy has 4 different necklaces, 2 different bracelets, and 3 different hats, the total number of possible combinations of these items is:
4 x 2 x 3 = 24
Sammy wants to choose a red necklace and a yellow bracelet. There is only one red necklace and only one yellow bracelet, so the number of ways these items can be chosen is simply:
1 x 1 x how many hats are there
Since Sammy still needs to choose a hat, and there are 3 different hats available, the total number of ways she can choose a red necklace, a yellow bracelet, and any hat is:
1 x 1 x 3 = 3
Therefore, out of a total of 24 possible combinations, there are only 3 ways of choosing a red necklace and a yellow bracelet, regardless of the hat. So, the probability of choosing these particular items is:
3/24 = 1/8
Therefore, the answer is (D) one-eighth.
Which events are not independent?
A. You draw two colored marbles without replacement and get one red and one blue.
B. You pull a green tile from a bag of tiles, return it, and then pull a yellow tile.
C. You toss two coins and get one head, one tail.
D. You choose two different ice cream flavors for a cone
Two events are not independent if the occurrence of one event affects the occurrence or probability of the other event.
(A) You draw two colored marbles without replacement and get one red and one blue: these events are not independent since the probability of drawing a blue marble on the second draw changes after drawing a red marble in the first draw.
(B) You pull a green tile from a bag of tiles, return it, and then pull a yellow tile: these events are independent since the first pull does not affect the probability of selecting a yellow tile on the second pull.
(C) You toss two coins and get one head, one tail: these events are independent since the outcome of one toss does not affect the outcome of the other toss.
(D) You choose two different ice cream flavors for a cone: these events are not independent, since the choice of the first flavor affects the available options for the second flavor, as some flavors may not go well together.
Therefore, the answer is (A) You draw two colored marbles without replacement and get one red and one blue.
If a coin is tossed and a number cube is rolled, what is the probability that the coin shows heads and the number cube shows 3?
A. one-half
B. one-ninth
C. start fraction 1 over 6 end fraction
D. start fraction 1 over 12 end fraction
The probability of getting heads on a coin toss is 1/2, since there are two equally likely outcomes (heads and tails).
The probability of rolling a 3 on a number cube is 1/6, since there are six equally likely outcomes (numbers 1 through 6), and only one of them is a 3.
To find the probability of both events happening together (getting heads and 3), we simply multiply the individual probabilities:
(1/2) x (1/6) = 1/12
Therefore, the probability of getting heads on a coin toss and a 3 on a number cube is 1/12.
Therefore, the answer is (D) start fraction 1 over 12 end fraction.
Note: Your teacher will grade your response to ensure you receive proper credit for your answer.
On Friday nights the local diner serves three main entrées, each with a choice of vegetable. The entrées are beef, chicken, and fish. The vegetables are spinach, broccoli, and carrots. How many possible dinners (entrée and vegetable combinations) does the diner serve? List them.
There are 3 different entrées, and for each entrée, there are 3 different vegetable choices. So the total number of possible dinner combinations is:
3 x 3 = 9
The possible dinner combinations (entrée and vegetable) are:
1. Beef with spinach
2. Beef with broccoli
3. Beef with carrots
4. Chicken with spinach
5. Chicken with broccoli
6. Chicken with carrots
7. Fish with spinach
8. Fish with broccoli
9. Fish with carrots
Therefore, the diner serves 9 possible dinner combinations.