In a hurdle race, a player has to cross 10 hurdles. The probability that he will clear each hurdle is 5/6. What is the probability that he will knock down fewer than 2 hurdles?

Question

Philoid · Accepted Answer

In this question,

Let us assume p be the probability of player that will clear the hurdle while q be the probability of player that will knock down the hurdle

∴

And,

Let us also assume X be the random variable that represents the number of times the player will knock down the hurdle

∴ By binomial distribution,

Hence, probability (players knocking down less than 2 hurdles) = P (X < 2)

= P (X = 0) + P (X = 1)

=