ack, and then draW either a yellow or chocolate lab on the second draw The follo
ID: 3367379 • Letter: A
Question
ack, and then draW either a yellow or chocolate lab on the second draw The following 3 questions (Q30 to Q32) are based on the following information John has the phone numbers of many young ladies. Some of these young ladies are blonde and others are brunettes. In addition, John knows that some are single while others have boyfriends. The exact breakdown is as follows: Single Taken Blonde 15 10 Brunette 18 12 Find the following probabilities: Q30: Q31: Q32: What is the probability of selecting someone who is taken, given that they are blonde? What is the probability of selecting a single brunette? What is the probability of selecting someone who is brunette, given that they are taken?Explanation / Answer
Total no of young ladies = 15 + 10 + 18 + 12 = 55
30) P(taken | blonde) = P(taken and blonde)/P(blonde)
= 10/(15 + 10) = 10/25 = 0.4
31) P(selecting a single brunette) = (18 +12)/55 = 30/55 = 0.545
32) P(brunette | taken) = P(brunette and taken)/P(taken)
= 12/(10 + 12) = 12/22 = 0.545
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