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One member from a book club is randomly selected. There is a 40% chance the member is male, and there is a 15% chance that the member is male and finished reading the last book. What is the probability that the member did not finish reading the last book, given that the member is male? Write the probability as a percent. Round to the nearest tenth if needed. _________ %

Respuesta :

Answer:

The probability that the member did not finish reading the last book, given that the member is male = 18%

Step-by-step explanation:

Let the probability of reading the last book be denoted by P(R)

One member from a book club is randomly selected. There is a 40% chance the member is male

So, The probability that the member is a male, P(M) = 0.4

Also, there is a 15% chance that the member is male and finished reading the last book

So, The probability that the member is male and finished reading the last book, P(M ∩ R) = 0.15

⇒ P(M ∩ not R) = 0.40 - 0.15

                          = 0.25

Now, we need to find : the probability that the member did not finish reading the last book, given that the member is male

P(not R | M) = P(M ∩ not R)/P(M)

⇒ P(not R | M) = 0.18

                       = 18%

Therefore, the probability that the member did not finish reading the last book, given that the member is male = 18%

alanadsmith

Answer:

I just took the quiz and it is 62.5

Step-by-step explanation:

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