Question

a dice is rolled twice. the probability of getting a number greater than 5 on each roll is

Answer 1

Answer:

2/6 is the answer of these question.

Answer 2

Answer:

5/12  

Step-by-step explanation:

The probability that the second roll equals the first roll is  1/6  

Hence, the probability that the second roll differs from the first roll is  1-1/6=5/6  

If the first and second rolls differ, then by symmetry, the following mutually exclusive events are equally likely:

(a) the second roll is higher than the first.

(b) the first roll is higher than the second.

So the required probability is half of the probability from step 2: i.e.

1/2  of  5/6=5/12