Question

How do you use the Counting Principle to find the probability of choosing the 5 winning lottery numbers when the numbers are chosen at random from 0 to 9?

Answer 1

`1/(10^5)=1/(10,000)=0.0001`

Explanation:

We have a 5-digit number and we're trying to calculate the odds of guessing the number correctly.

For each digit, there is a `1/10` chance of getting it right. There are 5 digits, and so according to the Counting Principle, we multiply all of them together:

`(1/10)(1/10)(1/10)(1/10)(1/10)=1/(10^5)=1/(10,000)=0.0001`