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Bunuel
At an archery tournament, eight of the twenty competitors were left-handed and the remainders were right-handed. Due to the weather conditions it is more difficult for left-handers to hit the target. Practice sessions indicated that the probability of a left-hander hitting the target was 0.7, while for right-hander it was 0.9. What is the probability that an archer chosen at random is left-handed and hits the target?

A. 41/50

B. 27/41

C. 3359/9500

D. 37/100

E. 7/25


Solution:

Since the probability that an archer chosen at random is left-handed is 8/20, then the probability that such an archer hits the target is 8/20 x 7/10 = 56/200 = 7/25.

Answer: E
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P(left-handed and hits target) = ?

2/5 x 7/10 = 7/25

Answer is E.
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