Question

What is the probability that a player of a lottery wins the prize offered for correctly choosing five (but not six) numbers out of six integers chosen at random from the integers between 1 and 40, inclusive?

Answer 1

Answer:0.0000531

Explanation:

Given

Choosing 5 correct integers out of 6 integers is

`^(6)C_5`

and remaining 1 incorrect digit out of 34 is
`^(34)C_1`

Now total ways to choose 6 integers out of 40 integers

`=^(40)C_6`

Probability
`=(^(6)C_5\cdot ^(34)C_1)/(^(40)C_6)`

`=0.0000531`