Question

Question 81 pt 91 0 DetailsA die is rolled twice. What is the probability that a(n) 1 is rolled on the first roll and an even number on thesecond roll?The probability of rolling a(n) 1 on the first roll and an even number on the second roll is

Answer 1

Given:

A die is rolled twice.

To find:

What is the probability that 1 is rolled on the first roll and an even number on the second roll?

Step-by-step explanation:

`Probability\text{ of event= }\frac{favorable\text{ outcome}}{Total\text{ outcome}}`

Solution:

A die is roll twice.

Each roll of the dice is an independent event. The probability of a 1 on one roll is 1/6 and the probability of an even number on the second roll is 3/6=1/2. Since, each roll is an independent event, the probability of a 1 on one roll and an even number on the second roll is

`(1)/(6)*(1)/(2)=(1)/(12)`

Hence, these are the required probabilities.