Two dice are rolled What is the probability of getting a 3 a

Two dice are rolled. What is the probability of getting a 3 and then an even number?

Solution

Solution:

List of sample space wheren two dice are rolled

(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)(6,1)(6,2)(6,3)(6,4)(6,5)(6,6) = 36

Now number element getting 3 first and then even number

(3,2) (3,4) (3,6) = 3

probability

getting 3 first and then even number

= number of favorable / number of sample space

= 3/36

= 1/12

Answer: 1/12