Answer:
The probability that the first die is a 2 or the second die is a prime = 1/12
Explanation:
It is given that,a fair (6 sided) die is rolled TWO times.
The sample space for rolling 2 dies
(1, 1), (1, 2) .......... (1,6)
(2,1) ..........................
.
.
(6, 1) ..........................(6, 6)
There are total of 6^2 = 36 sample space
To find the probability
The prime numbers from 1 to 6 are 2, 3 and 5
the possible outcomes are(2,1), (2, 3) and (2, 5)
The probability that the first die is a 2 or the second die is a prime = 3/36 = 1/12