A box contains 14 white balls and 6 black balls. Find the probability of first drawing a black ball and then a white ball without replacement.

A.

0.21

B.

0.22

C.

0.30

D.

0.70

Correct answer is B

The probability of picking a black ball = \(\frac{6}{6 + 14} = \frac{6}{20}\)

Probability of a white ball without replacement = \(\frac{14}{19}\)

Probability of a black ball and then white without replacement = \(\frac{6}{20} \times \frac{14}{19} = \frac{21}{95} = 0.22\)