If two balls are selected at random what is the probability that one ball is white and the other ball is red ?


A) \( \Large \frac{91}{190} \)

B) \( \Large \frac{63}{190} \)

C) \( \Large \frac{5}{19} \)

D) \( \Large \frac{4}{95} \)

Correct Answer:
B) \( \Large \frac{63}{190} \)

Description for Correct answer:
Total possible outcomes = 190

Favourable outcomes = Selection of 1 ball out of 9 red balls and 1 ball from 7 white balls

= \( \Large ^{9}C_{1} \times ^{7}C_{1} = 9 \times 7 \) = 63

Therefore, Required probability = \( \Large \frac{63}{190} \)

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