In a group of 25 factory workers, 20 are low-risk and five are high-risk. two of the 25 factory workers are randomly selected without replacement. calculate the probability that exactly one of the two selected factory workers is low-risk.

Question

Alissa Grant

Mathematics

14 January, 15:35

In a group of 25 factory workers, 20 are low-risk and five are high-risk. two of the 25 factory workers are randomly selected without replacement. calculate the probability that exactly one of the two selected factory workers is low-risk.

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Simeon · Answer 1

Let

L=event that a selected worker has low risk

H=event that a selected worker has high risk

We need to find

P (HL) + P (LH)

=5*20 / (25*24) + 20*5 / (25*24)

=1/6+1/6

=1/3