If two fair dice are tossed together. What is the probability that the score will be

A) A prime number
B)A perfect square
C) perfect square
D)A total of 4

3 answers

A) 1/9
B) 1/9
C) 1/4
D) 1/36
The bot missed 3 of the 4 questions.

Create a matrix and just count the entries that apply
A) I counted 18 entries that were prime
prob(prime) = 18/36 = 1/2
B) Possible perfect squares are : 4, and 9
I counted 9 of those
prob(perfect square) = 9/36 = 1/4
C) this is the same as B
D) I see only 5 4's, so
prob(a 4) = 5/36
oops, I miscounted

A)prob(prime) = 15/36 = 5/12
B) only 7 perfect squares, so prob(perfect square) = 7/36
C) ....
D) prob(sum of 4) = 3/36 1/12