Jill borrows a pencil and returns it after the Warm Up. She then borrows a different pencil to show work on her CFA.  The proba

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Jill borrows a pencil and returns it after the Warm Up. She then borrows a different pencil to show work on her CFA.  The proba

bility of selecting a mechanical pencil is 20%.  The probability of selecting a wooden pencil is 40%.  The probability of selecting a colored pencil is 30% What is the probability that Jill selects a wooden pencil and then a mechanical pencil?

Mathematics

1 answer:

mestny [16] · Answer 1 · 2022-12-09T00:25:13+03:00

Probabilities are used to determine the chances of events

The probability that Jill selects a wooden pencil and then a mechanical pencil is 8%

<h3>How to calculate the probability</h3>

Represent the events as follows:

A represents mechanical pencil
B represents wooden pencil
C represents colored pencil

So, we have

P(A) = 20%

P(B) = 40%

P(C) = 30%

The probability that Jill selects a wooden pencil and then a mechanical pencil is then calculated as:

P(B n A) = P(B) * P(A)

This gives

P(B n A) = 40% * 20%

Evaluate the product

P(B n A) = 8%

Hence, the probability that Jill selects a wooden pencil and then a mechanical pencil is 8%