Statistics And Probability Question 118

Question: A car is parked by an owner amongst 25 cars in a row, not at either end. On his return he finds that exactly 15 places are still occupied. The probability that the neighboring places are empty is

Options:

A) $ \frac{91}{276} $

B) $ \frac{15}{184} $

C) $ \frac{15}{92} $

D) None

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] Exhaustive number of cases $ {{=}^{24}}C_{14} $ Favourable cases $ {{=}^{22}}C_{14} $