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?
make it short
a. To find out how many students practice every day, we can use a proportion:
7/12 = x/144
Solving for x, we get:
x = (7/12) * 144
x = 84
Therefore, we can predict that 84 students practice martial arts every day.
b. The sample size is given in the problem as 144.
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.
There are 6 possible outcomes when rolling a number cube: 1, 2, 3, 4, 5, or 6. We want to find the probability of rolling an even number on the first roll, and then rolling a number that is not 2 on the second roll.
The probability of rolling an even number on the first roll is 3/6, since there are 3 even numbers (2, 4, and 6) out of 6 total possible outcomes.
Assuming the first roll was even, the probability of not rolling a 2 on the second roll is 4/5, since there are 4 numbers that are not 2 (1, 3, 4, and 5) out of 5 remaining possible outcomes.
Therefore, the probability of rolling an even number on the first roll, and then rolling a number that is not 2 on the second roll is:
(3/6) * (4/5) = 12/30 = 2/5
So the probability is 2/5, which is already in simplest form.
make it short
The probability of rolling an even number on the first roll, and then rolling a number that is not 2 on the second roll of a number cube is 2/5.
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. make it short
a. The theoretical probability of rolling a 3 on a number cube is 1/6 (since there is one 3 out of six possible outcomes). Therefore, the theoretical probability of rolling a 3 is 1/6 in simplest form.
b. The experimental probability of rolling a 3 is found by dividing the number of times 3 came up by the total number of rolls:
67/450
This fraction is already in simplest form. Therefore, the experimental probability of rolling a 3 is 67/450.
make it short
The theoretical probability of rolling a 3 on a number cube is 1/6. The experimental probability of rolling a 3 after 450 rolls is 67/450.
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