Question

If two dice are thrown, what is the probability that the first die shows a 4

Answer 1

Two dice are rolled. Assuming it is unbiased so it's 6 sided and thus the probability of getting any number on any single die is 1/6.

Now, the second die can show any number we are just concerned with rolling a 4 on the first die. So the outcomes can be this:

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6) ie we can have total 6 fabourafav outcomes. Total outcomes will be (6*6)= 36 since any of the 6 numbers can come on any dice.

Hence the required probability= total favourable outcomes/total outcomes= 6/36 ie 1/6