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

Explanation

Number of ways in which `6`
numbers can be chosen from `20` `= (20)_(C_6)=38760`


Out of which only `1` is correct.


Hence, `p(E)=1/(38760)`