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

5 answers

a. There are 12 letters total and 3 of them are A's. The fraction in simplest form is 3/12, which reduces to 1/4.

b. To find the decimal, divide 1 by 4: 1 ÷ 4 = 0.25.

c. To find the percent, multiply the decimal by 100: 0.25 × 100 = 25%.

Therefore, the probability of drawing an A is:

a. 1/4
b. 0.25
c. 25%
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
a. There are 12 letters total and 3 of them are A's. The fraction in simplest form is 3/12, which reduces to 1/4.

b. To find the decimal, divide 1 by 4: 1 ÷ 4 = 0.25.

c. To find the percent, multiply the decimal by 100: 0.25 × 100 = 25%.

Therefore, the probability of drawing an A is:

a. 1/4
b. 0.25
c. 25%
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 number cube is 1/6. This is because there are 6 possible outcomes (numbers 1 through 6) and only one of them is a 3. Therefore, the theoretical probability of rolling a 3 is 1/6.

b. The experimental probability of rolling a 3 is found by dividing the number of times the 3 came up by the total number of rolls:

Experimental probability of rolling a 3 = 67/450

This fraction cannot be simplified further.