Of the 52 people who answered "yes" to a question, 5 were male. Of the 77 people that answered "no" to the question, 11 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male? a. 0.488b. 0.124c. 0.096d. 0.527

Question

Frisky

Mathematics

3 September, 10:46

Of the 52 people who answered "yes" to a question, 5 were male. Of the 77 people that answered "no" to the question, 11 were male. If one person is selected at random from the group, what is the probability that the person answered "yes" or was male? a. 0.488b. 0.124c. 0.096d. 0.527

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Answers (1)

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Libby Fitzpatrick · Answer 1

Option "a": 0.488

Step-by-step explanation:

If 52 people answered "yes" and 77 people answered "no", a total of 52 + 77 = 129 people answered the question.

From the people that answered "yes", 5 were male, and from the people that answered "no", 11 were male, so there is a total of 5+11 = 16 men.

To find the probability of one person randomly selected being male or having answered "yes", we can use the following probabilities:

Probability of the person being male: P (Male) = 16/129

Probability of the person having answered "yes": P (Yes) = 52/129

Probability of the person being male and having answered "yes": P (Male AND Yes) = 5/129

Then, we can calculate the probability of the person being male or having answered "yes":

P (Male OR Yes) = P (Male) + P (Yes) - P (Male AND Yes)

= (16/129) + (52/129) - (5/129) = 63/129 = 0.4884 = 48.84%

Correct option: "a"