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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?

Respuesta :

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)

[tex]\begin{gathered} P\mleft(K\cap M\mright)=\frac{16}{21}\times\frac{9}{14} \\ P(K\cap M)=\frac{8}{21}\times\frac{9}{7} \\ =\frac{8}{7}\times\frac{3}{7}=\frac{24}{49}\cong0.49 \end{gathered}[/tex]

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

P(K∩M) = 24/49 ≅ 0.49

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