A single, standard number cube is tossed. What is the probability of getting a 4 or a 5?
A. 1
B. 1/5
C. 1/3
D 1/6
1/3?
So there is 6 sides (and 6 numbers). 4 and 5 are two numbers so, they are 2/6 sides. 2/6 = ? (simplify it to lowest terms)
Yes.
Exploring Probability Unit Test Connexus 6th grade
1. C ; 1/3
2. A ; 1/8
3. B ; 3/10
4. B ; 1/3
5. A ; 0.32
6. B ; 7/8
7. B ; 10 times
8. B ; 168 people
9. C; 300 telephones
10. B ; 2/9
11. D ; 60 choices
12. D ; 1/12
13. C ; You draw two colored pencils without replacement and get get one red and one yellow
14. D ; 1/12
15. All the different combinations are: fish and spinach, fish and broccoli, fish and carrots, chicken and spinach, chicken and broccoli, chicken and carrots, beef and spinach, beef and broccoli, beef and carrots.
The probability of getting a 4 or a 5 is the sum of the probabilities of getting a 4 and getting a 5, because these two events are mutually exclusive (you cannot get both a 4 and a 5 on the same roll).
Each number on a standard number cube is equally likely to come up, so there are 6 possible outcomes, each with a probability of 1/6.
Therefore, the probability of getting a 4 is 1/6, and the probability of getting a 5 is also 1/6.
The probability of getting a 4 or a 5 is the sum of these two probabilities:
1/6 + 1/6 = 2/6 = 1/3
So the probability of getting a 4 or a 5 is 1/3.
To find the probability that a shopper selected at random from the 50 surveyed prefers red or blue, you need to add the number of shoppers who prefer red to the number of shoppers who prefer blue, and then divide by the total number of shoppers surveyed.
Looking at the table provided would help us to extract the following information:
- 10 shoppers prefer red
- 15 shoppers prefer blue
Therefore, the total number of shoppers who prefer red or blue is:
10 + 15 = 25
The probability of selecting a shopper at random who prefers red or blue is therefore:
25/50 = 0.5 or 50%
So the probability that one shopper, selected randomly from the 50 surveyed, preferred the color red or blue is 50%.
The probability of rolling an even number on a number cube is 3/6, or 1/2, since there are three even numbers (2, 4, and 6) out of six possible outcomes. The probability of not rolling a 2 on a number cube is 5/6, since there are five numbers (1, 3, 4, 5, and 6) out of six possible outcomes that are not 2.
To find the probability of rolling an even number on the first roll and not rolling a 2 on the second roll, we need to multiply the probabilities of each event.
P(even, then not 2) = (1/2) x (5/6)
Simplifying,
P(even, then not 2) = 5/12
So the probability of rolling an even number on the first roll and not rolling a 2 on the second roll is 5/12.
There are 12 letters in the mix, and only 2 of them are A's. Therefore, the probability of drawing an A is:
a. P(A) = 2/12
Simplifying the fraction,
P(A) = 1
Help me, please. I think D?
I don't know, HELP!!!
bru i need help
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A single, standard number cube is tossed. What is the probability of getting a 4 or a 5?
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.
If 36% of car owners prefer two door cars, and you survey 300 people, you can find an estimate for how many people will prefer two door cars by multiplying the total number of people surveyed by the percentage that prefer two door cars:
0.36 x 300 = 108
So you might expect around 108 people to prefer two door cars based on this estimate. However, it's important to keep in mind that this is just an estimate and the actual number of people who prefer two door cars among the 300 surveyed may vary.
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The table shows the color preferences of 50 shoppers at the mall. What is the probability that one shopper, selected random from the 50 surveyed, prefered the color red or blue?
A standard number cube with the numbers 1 through 6 is rolled. Find the probabilty of a number greater than 5.
The probability of rolling a number greater than 5 on a standard number cube is the probability of rolling a 6.
Since there are six equally likely outcomes on a standard number cube, each with a probability of 1/6, the probability of rolling a 6 is:
1/6
So the probability of rolling a number greater than 5 is 1/6.
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On Friday nights the local diner serves three main entrees, each with a choice of vegetable. three entrees are beef, chicken,and fish. The vegetables are spinach, broccoli, and carrots. How many possible dinners (entrees and vegetable combinations) does the dinner serve? List them.
There are 3 main entrees and 3 different vegetable choices, so there are a total of 3 x 3 = 9 possible dinner combinations by assigning each entree a vegetable. We can list them as follows:
- Beef with spinach
- Beef with broccoli
- Beef with carrots
- Chicken with spinach
- Chicken with broccoli
- Chicken with carrots
- Fish with spinach
- Fish with broccoli
- Fish with carrots
Therefore, the diner can serve 9 possible dinner combinations.
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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 that relates the number of students who practice every day to the total number of students:
7/12 = x/144
To solve for x, we can cross-multiply and simplify:
12x = 7 * 144
12x = 1008
x = 1008/12
x = 84
Therefore, we can predict that 84 students practice every day.
b. The sample size is the total number of martial arts students at the school, which is given as 144. So the sample size is 144.
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 that relates the number of students who practice every day to the total number of students:
7/12 = x/144
To solve for x, we can cross-multiply and simplify:
12x = 7 * 144
12x = 1008
x = 1008/12
x = 84
Therefore, we can predict that 84 students practice every day.
b. The sample size is the total number of martial arts students at the school, which is given as 144. So the sample size is 144.
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.
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
A number cube is rolled 450 times. The number 3 comes up 67 times.
a. What is the theoretical probability of rolling a 3? Write your answer as a fraction in simplest form.
b. What is the experimental probability of rolling a 3? Write your answer as a fraction in simplest form.
a. The theoretical probability of rolling a 3 on a standard number cube is 1/6. This is because there is one favorable outcome (rolling a 3) out of six possible outcomes (rolling a 1, 2, 3, 4, 5, or 6). Therefore, the theoretical probability of rolling a 3 is:
1/6
b. The experimental probability of rolling a 3 is the number of times 3 comes up when the number cube is rolled divided by the total number of times the cube is rolled. In this case, the number 3 comes up 67 times out of 450 total rolls. Therefore, the experimental probability of rolling a 3 is:
67/450
This fraction can be simplified by finding a common factor of numerator and denominator. For example, both 67 and 450 are divisible by 3. Dividing each number by 3 results in:
67/450 = 22.3%/div>
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
You mix the letters M, A, T, H, E, M, A, T, I, C, A, and L thoroughly. Without looking, you draw one letter. Find the probability P(A). Write the probability as:
a. a fraction in simplest form
b. a decimal
c. a percent