Answer to Question #289110 in Statistics and Probability for Gracie

Question

While putting, Kevin made 16 out of his last 21 putts. His friend Mike made 9 out of his last 14 putts. What is the probability that they both make their next putt? Leave answer as a simplified fraction.

 

Answer 1

Solution:

Probability that Kevin makes putts$,P(K)=\dfrac{16}{21}$

Probability that Mike makes putts$,P(M)=\dfrac{9}{14}$

Probability that both make putts$,P(K\cap M)=\dfrac{16}{21}\times\dfrac{9}{14}=\dfrac{24}{49}$