Question

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John has a bag of red and blue marbles. John chooses 2 marbles without replacing the first. Let A be the event where the first marble chosen

is red. Let B be the event where the second marble chosen is blue.

Which statement explains what the equation P (BA) = 0.6 means for these events?

A. The probability of choosing a blue marble after any marble has been removed is 0.6.

OB. The probability of choosing a red marble after a blue marble has been removed is 0.6.

O O O

C. The probability of choosing a blue marble after a red marble has been removed is 0.6.

OD. The probability of choosing a blue marble is 0.6, regardless of what else has been chosen.

Answer 1

C. The probability of choosing a blue marble after a red marble has been removed is 0.6.

Explanation:

P(B|A)

P(B|A) states the probability of event B happening, given that event A has happened.

In this question:

Event A: First marble is red.

Event B: Second marble is blue.

P(B|A) = 0.6

This means that the probability that the second marble is blue, considering that the first marble was red, is of 0.6, and thus, the correct answer is given by option C.