Question

Use the table to find the experimental probability of spinning a number less than 2. Write your answer as a fraction.

Spinning a Spinner
Number spun Times spun
1 7
2 10
3 8
4 8
5 8
6 9

Answer 1

The experimental probability of spinning a number less than 2

P( x<2) = 0.14

Explanation:

Given data table

x 7 10 8 8 8 9 = total 50

P(X=x)
`(7)/(50) = 0.14`
`(10)/(50) = 0.2`
`(8)/(50) = 0.16`
`(8)/(50) = 0.16`
`(8)/(50) = 0.16`
`(9)/(50) = 0.18`

Sum of the probabilities is equal ∑x P(x=x)

= 0.14 +0.2 +0.16 +0.16+0.16 +0.18

=1

Given data table

spinning

a spinner 1 2 3 4 5 6

x 7 10 8 8 8 9

P(X=x) 0.14 0.2 0.16 0.16 0.16 0.18

The experimental probability of spinning a number less than 2

P( x<2) = P( x=0) +P(x=1)

= 0 + 0.14

The experimental probability of spinning a number less than 2

P( x<2) = 0.14