Probability Question 25

Question: A box contains 25 tickets numbered 1, 2, ……. 25. If two tickets are drawn at random then the probability that the product of their numbers is even, is

Options:

A) $ \frac{11}{50} $

B) $ \frac{13}{50} $

C) $ \frac{37}{50} $

D) None of these

Show Answer

Answer:

Correct Answer: C

Solution:

Required probability is $ 1-P $ (Both odd numbers are chosen) $ =1-\frac{{}^{13}C_2}{{}^{25}C_2}=1-\frac{13.12}{25.24}=\frac{37}{50}. $