Answer to Question #225663 in Statistics and Probability for kareim

Question

5. A jar contains black and white marbles. Two marbles are chosen without replacement.

The probability of selecting a black marble and then a white marble is 0.34, and the

probability of selecting a black marble on the first draw is 0.47. What is the probability

of selecting a white marble on the second draw, given that the first marble drawn was

black?

Answer 1

$$P(White|Black)=\dfrac{P(Black\ and\ White)}{P(Black)}$$

$$=\dfrac{0.34}{0.47}\approx0.7234$$

The probability of selecting a white marble on the second draw, given that the first marble drawn was

black is $0.7234.$