Probability Question 42
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} $ .
BETA
