Q. 19

In a hurdles 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?

Answer :

The probability that the hurdle will be cleared is 5/6


Using Bernoulli’s Trial we have,


P(Success=x) = nCx.px.q(n-x)


x=0, 1, 2, ………n and q = (1-p), n =10


p = 5/6 q = 1/6


Probability that he will knock down fewer than 2 hurdles is =


P(0) + P(1)


10C0()0()10 + 10C1()1()9



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