Question

A spinner is numbered from 1 through 10 with each number equally likely to occur. what is the probability of obtaining a number less than 2 or greater than 7 in a single spin?

Answer 1

`(2)/(5)`

Explanation:

There are 10 total outcomes [numbers from 1 to 10]

What are the numbers that are LESS THAN 2 or GREATER THAN 7?

They are 1, 8, 9, and 10.

That's a total of 4 numbers. Also, total numbers is 10. Hence the probability of obtaining numbers that are less than 2 or greater than 7 is:

`(4)/(10)`

Simplifying gives us a probability of
`(4)/(10)=(2)/(5)`

Answer 2

There are 10 numbers from 1 - 10
first we get the numbers less than 2 are (1)
secondly get the numbers greater than 7 are (8,9,10)
total = 4 numbers
The favorable probability is 4 / 10=2 / 5
hope it helps