At a baseball game, the probability that a fan brings a glove is 0.08. The probability that a fan is left-handed is 0.12. What i
s the probability that a randomly selected fan has a baseball glove and is left-handed? Round your answer to the nearest hundredth, if necessary.
2 answers:
Let
and
be two events. Then
.If the events are independent. Here
Let
.
Then, the probability that a randomly selected fan has a baseball glove and is left-handed is

If the probabilities are independent, the probability that a left-handed person will bring a glove is ...
0.08×0.12 = 0.0096 ≈ 0.01
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