Question

2. Two dice are rolled simultaneously. List all possible outcomes and find the probability of:
A. Getting prime number on both dice.
B. Sum of number obtained at top face of both dice be less than 7.
C. Product of number obtained on top face of both dice be more than or equal to 20.

Answer 1

Answer:

A. 1/4

B. 5/12

C. 5/36

Step-by-step explanation:

A. 3 primes are: 2, 3, 5

Probability on one die is 3/6

Probability on 2 dies is 3/6 × 3/6 = 9/36 = 1/4

B. First dice - Second dice

1 - 1, 2, 3, 4, 5

2 - 1, 2, 3, 4

3 - 1, 2, 3,

4 - 1, 2

5 - 1

Total = 15/36 = 5/12

C. First dice - Second dice

4 - 5, 6

5 - 6

6 - 4, 5

Total = 5/36

Hope it helps :)