The table below shows the information about 20 tourists. Let event A = {American

ID: 3219565 • Letter: T

Question

The table below shows the information about 20 tourists. Let event A = {American}, F = {French}, M ={Male}, and W = {Female}.

What is the probability that a randomly selected male tourist is a French person? Show your calculation to justify your answer.

a. P(M|F) = 0.43

b. P(F|M) = 0.43

c. P(M|F) = 0.75

d. P(F|M) = 0.75

What is the probability that a randomly selected tourist is either a woman or an American person? Justify your answer.

a. P(W and A) = 0.20

b. P(W and A) = 0.18

c. P(W or A) = 0.7

d. P(W or A) = 0.9

Can you tell me which answers are right and which ones are wrong, and why?

Men Woman Total American 8 4 French 6 2 Total

What is the probability that a randomly selected male tourist is a French person? Show your calculation to justify your answer.

P(F/M)=6/14

=0.428

~0.43

Option B is correct

What is the probability that a randomly selected tourist is either a woman or an American person? Justify your answer.

P(W and A) =4/20

=0.2

Option A is correct

men woman total American 8 4 12 French 6 2 8 total 14 6 20

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