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?

Explanation

Let `p` and `q` respectively be the probabilities that the player will clear and knock down the hurdle.

`therefore p=frac{5}{6} `

`q=1-p=1-frac{5}{6}=frac{1}{6}`

Let `{X}` be the random variable that represents the number of times the player will knock down the hurdle.

Therefore, by binomial distribution, we obtain


`{P}({X}=x)=^{n} C_{x} p^{n-x} q^{x}`


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