Question

4) Find the probability of rolling a 5 or greater on the first die, and a 3 or greater
on the second die.​

Answer 1

Step-by-step explanation:

Let the event of getting a greater number on the first die be G.

There are 5 ways to get a sum of 8 when two dice are rolled ={(2,6),(3,5),(4,4),(5,3),(6,2)}

And there are two ways where the number on the first die is greater than the one on the second given that the sum should equal 8, G={(5,3),(6,2)}

Therefore, P(Sum equals 8) = 5/36 and P(G) = 2/36

Now, P(G ∣ Sum equals 8) =

P(G and sum equals 8) / P(sum equals 8)

(2/36)/(5/36) = 2/5