Question

The probability that a girl has dark hair is 0.7, the probability that she has blue...

The probability that a girl has dark hair is 0.7, the probability that she has blue eyes is 0.4and the probability that she has both dark hair and blue eyes is 0.2.

a)find the probability that a girl has neither dark hair nor blue eyes.

b)find the probability that a girl either has dark hair or blue eyes but not both.

c)find the probability that a girl has blue eyes but not dark hair.

Homework Answers

Answer #1

Let A be the event that a girl has dark hair.

Therefore P(A)=0.7

B be the event that she has blue eyes.

P(B)=0.4

Probability that she has both dark hair and blue eyes is

a. The probability that a girl has neither dark hair nor blue eyes is given by

b. The probability that a girl either has dark hair or blue eyes but not both is given by:

Thus the required probability is 0.7

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