Question

I need help here is a example on what I am kinda trying to do for example While golfing, Kevin made 16 out of his last 21 putts. His friend Mike made 9 out of his last 14 puffs. What is the probability that they both make their next putt?

Answer 1

Probability

We first want to find the probability that each one make a puff. We divide the number of puffs they made by the total.

Let's say

K: Kevin making his next puff

M: Mike making his next puff

then

K∩M: the probability that they both make their next puff

Since

P(K) = 16/21

P(M) = 9/14

and since the occurrence of one does not affect the probability of occurrence of the other, K and M are independent events. Then

P(K∩M) = P(K) x P(M)

`\begin{gathered} P\mleft(K\cap M\mright)=(16)/(21)*(9)/(14) \\ P(K\cap M)=(8)/(21)*(9)/(7) \\ =(8)/(7)*(3)/(7)=(24)/(49)\cong0.49 \end{gathered}`

Answer: the probability that they both make their next puff is

P(K∩M) = 24/49 ≅ 0.49