Question

Six cars are in race. Mr. Tiwari selects two of the cars at random and bets on them. The probability that Mr. Tiwari selected the winning car is?
1. \(\rm \frac{3}{5}\)
2. \(\rm \frac{1}{3}\)
3. \(\rm \frac{2}{3}\)
4. \(\rm \frac{4}{3}\)

Answer 1

Correct Answer - Option 2 : \(\rm \frac{1}{3}\)

Calculation:

No. of cars  = 6

Probability that Mr. Tiwari can't win the race = \(\rm \frac{5}{6} \times \frac{4}{5} \) = \(\rm \frac{2}{3} \)

Probability that Mr. Tiwari must win the race = 1 - \(\rm \frac{2}{3} \) = \(\rm \frac{1}{3} \)

The probability that Mr. Tiwari selected the winning car is \(\rm \frac{1}{3} \)