Question

A single die is rolled twice. Find the probability of rolling a 2 the first time and a 5 the second time.

Answer 1

`(1)/(36)`

Explanation:

All die rolls have a 1 in 6 chance of landing on any specific number (because they have 6 equal sides). In probability, two independent events with probabilities a and b will occur concurrently
`a*b` of the time. In this case,
`a=b=(1)/(6) \to p=a*b=(1)/(6)*(1)/(6)=(1)/(36)`

Answer 2

Required probability = 1/36

Explanation:

It is given that,single die is rolled twice

The outcomes of rolling a die are

1, 2, 3, 4, 5, and 6

Total = 6

To find the probability

Probability of getting 2 = 1/6

Probability of getting 5 = 1/6

Therefore probability of rolling a 2 the first time and a 5 the second time. = 1/6 * 1/6 = 1/36