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

Step-by-step 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 $=\frac{^{6}C_5\cdot ^{34}C_1}{^{40}C_6}$

$=0.0000531$