Statistics And Probability Question 278

Question: A box contains 10 red balls and 15 green balls. If two balls are drawn in succession then the probability that one is red and other is green, is

Options:

A) $ \frac{1}{3} $

B) $ \frac{1}{2} $

C) $ \frac{1}{4} $

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

  •         Required probability  $ =\frac{(10\,.\,15)}{{}^{25}C_2}=( \frac{2\,.\,10\,.\,15}{25\,.\,24} )=\frac{1}{2}. $