Question

To win a​ lottery, 6 numbers are drawn at random from a pool of 63 numbers. Numbers cannot repeat. If a person has one​ ticket, what is the probability that they have the winning​ ticket?

Answer 1

1 chance in 67 945 521 that's about 1 chance in 57 million

Explanation:

Very very small.

The way to choose 6 numbers out of 63 in any order is

63C6

which means

63!/ [ (63 - 6)! 6! ]

63 * 62 * 61 * 60 * 59 * 58/6! = 67945521

So he has 1 chance in 67945521

Put another way, 1 person in 5 in the United States would have to buy a ticket for one of them to win the lottery.