Note: For questions 16–19, remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer.

Question

Note: For questions 16–19, remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer.

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

Answer 1

a. P(A) = 3/12 = 1/4

b. P(A) = 0.25
c. P(A) = 25%

Answer 2

Note: For questions 16–19, remember to show all of the steps that you use to solve the problem. Be sure to use the text box where the question mark (?) first appears to show your mathematical work. You can use the comments field to explain your work. Your teacher will review each step of your response to ensure you receive proper credit for your answer.

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

Answer 3

a. P(A) = 3/12 = 1/4

b. P(A) = 0.25
c. P(A) = 25%

Answer 4

To find the probability of drawing the letter "A" from the given set, we need to determine the number of favorable outcomes (drawing an "A") and divide it by the total number of possible outcomes (drawing any letter).

Step 1: Count the number of "A"s
We can see that there are two "A"s in the given set.

Step 2: Determine the total number of letters
There are a total of 12 letters in the set.

Step 3: Calculate the probability
a. Fraction form: P(A) = Number of favorable outcomes / Total number of outcomes
P(A) = 2 / 12 = 1/6

b. Decimal form: P(A) = Number of favorable outcomes / Total number of outcomes
P(A) = 2 / 12 = 0.1667 (rounded to 4 decimal places)

c. Percent form: To convert the decimal to a percent, we multiply the decimal by 100.
P(A) = 0.1667 * 100 = 16.67% (rounded to 2 decimal places)

Therefore, the probability of drawing an "A" is:
a. Fraction form: 1/6
b. Decimal form: 0.1667
c. Percent form: 16.67%