Question

If you are rolling two dice (numbered 1-6), what is the probability that the first die shows an odd number and the second die shows a number larger than 4?

Answer 1

Since we have two dices and we want to know the events where the first one shows an odd number and the second die shows a number larger than 4, we have that the following results are the ones that fit the requirement:

`(1,5),(1,6),(3,5),(3,6),(5,5),(5,6)`

Now, we know that the sample space has 6x6=36 possible outcomes, therefore, the desired probability is:

`P(\text{odd,x}>4)=(6)/(36)=(1)/(6)`

therefore, the probability is 1/6