Question 47 Answer and Explanation _ACT June 2022 Form E26 Math Section

47. Mr. Schulte has a fair 12-sided die, with the sides numbered from 1 through 12. On both Monday and Tuesday, Mr. Schulte will roll the die 1 time. If the side that lands faceup is numbered with a prime number, Mr. Schulte will collect the homework that day—otherwise, he will not collect the homework. What is the probability that Mr. Schulte will collect homework on both Monday and Tuesday?

(Note: 1 is NOT a prime number.)

A. ${(\frac{5}{12})}^{2}$

B. ${(\frac{6}{12})}^{2}$

C. ${(\frac{7}{12})}^{2}$

D. $2(\frac{5}{12})$

E. $2(\frac{6}{12})$

Answer and Explanation

Your Answer is

Correct Answer is A

Explanation

There are 5 prime numbers from 1 to 12, 2, 3, 5, 7, and 11, so the required probability is (5/12)²