question archive One hundred people were asked, ?Do you favor the death penalty?? Of the 33 that answered ?yes? to the question, 14 were male

One hundred people were asked, ?Do you favor the death penalty?? Of the 33 that answered ?yes? to the question, 14 were male

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One hundred people were asked, ?Do you favor the death penalty?? Of the 33 that answered ?yes? to the question, 14 were male. Of the 67 that answered ?no? to the question, six were male. If one person is selected at random, what is the probability that this person answered ?yes? or was a male?

A) 0.39  B) 0.53  C) 0.13  D) 0.67

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Answer:

A )

Step-by-Step explanation

Calculation:

Let Y be said yes to the question and M be the male person to answer the question.

From the given information,

n(S) = 100

P(Y) = 33/100

P(M) = 20/100

P(Y and M) = 14/100

Using addition theorem,

P(Y or M) = P(Y)+P(M)-P(Y and M)

P(Y or M) = (33/100)+(20/100)-(14/100)

P(Y or M ) = 0.39

Option a) is correct.