1. A single, standard number cube is tossed. What is the probability of getting a 4 or 5 ? a point)
01
1/5
1/2
1/6
1/3
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 of randomly selecting a marble that is not yellow.
2/9
4/5
2/3
10/19
10/20 (or 1/2)
The probability of winning a game is 25%. How many times should you expect to win if you play 36 times?
3 times
7 times
9 times
11 times
9 times
A survey showed that 36% of car owners prefer two-door cars, 52% prefer four-door cars, and 12% have no preference. You ask 300 people. How many do you think will prefer the two-door cars?
108 people will prefer two-door cars.
To get this answer, you just multiply the total number of people surveyed (300) by the percentage of car owners who prefer two-door cars (36% or 0.36):
300 x 0.36 = 108
Mary works in a factory that produces 1,000 telephones each day. When 30 telephones were sampled, it was found that 9 were defective. Estimate how many telephones are defective each day.
314 telephones
284 telephones
300 telephones
310 telephones
310 telephones
To get this answer, you can use cross-multiplication with the given proportions:
9 defective phones out of 30 sampled is equivalent to x defective phones out of 1,000 produced each day:
9/30 = x/1000
Simplifying this gives:
x = (9/30) x 1000 = 300
Therefore, an estimated 300 of the 1,000 phones produced each day are defective.
The 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
My spinner has 3 parts, N E and U
A:2/3
B:2/9
C:3/4
D:5/9
A: 2/3 x 1/3 = 2/9
The probability of landing on a consonant (N or U) the first time is 2/3. If that happens, there will be only one consonant left and two vowels (E is a vowel) for the second spin. Therefore, the probability of landing on a vowel for the second spin will be 1/3.
Multiplying these probabilities together gives:
2/3 x 1/3 = 2/9
So the answer is B: 2/9.
The 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
My spinner has 3 parts, N E and U
A:4/9
B:2/3
C:7/9
D:1/3
C: 7/9
The probability of landing on a consonant (N or U) the first time is 2/3. If that happens, there will be only one consonant left and two vowels (E is a vowel) for the second spin. Therefore, the probability of landing on a vowel for the second spin will be 2/3.
The overall probability of landing on a consonant the first time AND a vowel the second time is the product of these individual probabilities:
(2/3) x (2/3) = 4/9
Therefore, the answer is C: 7/9.
Which events are not independent? (1 point)
Landing on heads after tossing a coin and rolling a 3 on a 6-sided number cube.
choosing a marble from a jar and landing on tails after tossing a coin
choosing a 5 from a deck of cards, replacing it, and then choosing an ace as the second card
choosing a card at random from a deck, without replacing it, and choosing another card at random
choosing a card at random from a deck, without replacing it, and choosing another card at random
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 9 possible dinner combinations:
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
Note Enter your answer and show all the steps that you use to solve this problem in the space provided
Marissa is researching information about martial arts students. She found that 7 out of 12 martial artists practice every day. There are 144 martial arts students at a school.
a. Predict how many students practice every day.
b. What is the sample size?
a. To predict how many students practice every day, we can set up a proportion:
7/12 = x/144
Cross-multiplying gives:
12x = 7 x 144
Simplifying gives:
x = (7 x 144)/12 = 84
Therefore, we can predict that 84 martial arts students practice every day.
b. The sample size is 144 martial arts students in total.
Note Enter your answer and show all the steps that you use to solve this problem in the space provided You roll a number cube twice. Find P(even, then not 2). Write the probability as a fraction in simplest form.
The number cube has 6 equally likely outcomes: 1, 2, 3, 4, 5, or 6. To find the probability of rolling even on the first roll and not 2 on the second roll, we can use the following steps:
1. Determine the probability of rolling even on the first roll. There are three even numbers on the cube (2, 4, and 6) out of a total of six possible outcomes, so the probability of rolling even is 3/6 or 1/2.
2. Determine the probability of not rolling 2 on the second roll, given that an even number was rolled on the first roll. Since one even number has already been rolled, there are only five outcomes left for the second roll: 1, 3, 4, 5, or 6. Of these outcomes, only three are not 2 (1, 3, or 5). Therefore, the probability of not rolling 2 on the second roll, given that an even number was rolled on the first roll, is 3/5.
3. Multiply the two probabilities together to get the probability of rolling even on the first roll and not 2 on the second roll:
P(even, then not 2) = P(even) x P(not 2 | even)
= (1/2) x (3/5)
= 3/10
Therefore, the probability of rolling even on the first roll and not 2 on the second roll is 3/10.