Question

During an experiment, a spinner landed on green 9 times, which resulted in an experimental probability of StartFraction 1 over 6 EndFraction. Mary said that there must have been 45 trials in the experiment. Why is Mary incorrect?

Answer 1

A

Explanation:

I got it correct on the test

Answer 2

Mary is incorrect

Explanation:

We are given the following in the question:

Number of times the spinner landed on green color = 9

P(Green) =

`(1)/(6)`

Mary claimed that there must be 45 trials.

`\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}`

P(Green) =

`\frac{\text{Number of times spinner landed on green}}{\text{Total number of trials}}\\\\\Rightarrow (9)/(x)=(1)/(6)\\\\\Rightarrow x = 9* 6 = 54`

There are 54 trials in the experiment and not 45 trials. Thus, Mary is incorrect.