Question

Dhoni won a game off the last ball by scoring 2 4 2 2 4 6 in the last over when 20 runs were required. If the scorecard for the last over was randomly rearranged, what is the probability that he finished the game with a six? [2 MARKS]

Answer 1

Concept : 1 Mark
Result : 1 Mark

The runs Dhoni scored in an over = 2, 4, 2, 2, 4 and 6.
Of these only 1 is a Six (6).
Rearranging the six digits, the probability of the last digit being 6 is $\frac{1}{6}$.
Hence, if the scorecard was randomly rearranged, the probability that the game was finished with a six was $\frac{1}{6}$