Question

Exit A bag contains 4 blue balls, 7 yellow balls and 4 white balls. Event A is defined as drawing a blue ball on the first draw and event B is defined as drawing a white ball on the second draw. If two balls are drawn from the bag, one after the other and not replaced, what is P(B|A) expressed in simplest form?
A. 2/7
B. 3/14
C. 4/15
D. 4/11
please hurry

Answer 1

P(B|A) expressed in simplest form is 4/15. Option C is correct answer.

What is Probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, probability of event A = 4/15

         probability of event B = 4/15

P(B|A) = P(A ∩ B)/P(B)

P(A ∩ B) = P(A) X P(B)

              = (4/15)(4/15)

              = 16/225

Now, conditional probability;

P(B|A) = (16/225) / (4/15)

          = (16/225)(15/4)

          = (16 X 15) / (225 X 4)

          = 4/15

Thus, P(B|A) expressed in simplest form is 4/15. Option C is correct answer.

Learn more about Probability from:

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