Statistics And Probability Question 211

Question: A bag contains 8 black and 7 white balls. Two balls are drawn at random. Then for which the probability is more

Options:

A) Both balls are white

B) One ball is white and one is black

C) Both balls are black

D) All of the above are equals

Show Answer

Answer:

Correct Answer: B

Solution:

  •         Probability that both balls are white   $ =\frac{{}^{7}C_2}{{}^{15}C_2}=\frac{1}{5} $                     Probability that both balls are black  $ =\frac{{}^{8}C_2}{{}^{15}C_2}=\frac{4}{15} $                     Probability that one ball is white and one is black                     $ =\frac{{}^{7}C_1\times {}^{8}C_1}{{}^{15}C_2}=\frac{8}{15} $ .