Answer:
A. 1/4
Step-by-step explanation:
We don’t care about what the second die rolls unless the first one is prime.
There are Three prime numbers on a standard d6, 2, 3, and 5, our of the 6 possible results, so the odds of this happening are 3/6, or 1/2
There are three even numbers on a standard d6, 2, 4, and 6, so the chances of this happening are again 3/6, or 1/2
1/2 chance we care that there’s a 1/2 chance? That’s 1/2*1/2=1/4 chance of those both happening in that order.Interestingly, if we don’t care WHICH happens first, there are 5 results that could happen on one die…
If it’s a 2 (1/6 chance) then any result but a 1 will fill the requirement, 5/6, that’s 5/36 chance of a correct combination.
If it’s a 3, or 5, then only a 2, 4, or 6 will count, so that’s 2/6*3/6=6/36
If it’s a 4 or 6, only a 2, 3, or 5 will count, so that’s also 2/6*3/6=6/36
5+6+6=17/36
That’s much better than the 9/36 (which is 1/4) chance we get if we care about the order!
