In a lottery, a person choses six different natural numbers at random from 1 to 20, and if these six numbers match with the six numbers already fixed by the lottery committee, he wins the prize. What is the probability of Winning the prize in the

Answer

`(1)/(38760)`

Explanation

n(S) = number of ways of choosing 6 numbers out of 20
`= ""^(20)C_(6).`
There is a fixed set of 6 numbers, which can be chosen in 1 way only. Let E be the event of getting the fixed set of 6 numbers.
Then, n(E) = 1.
`therefore P(E) = (n(E))/(n(S)) = (1)/(""^(20)C_(6)).`