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?

Respuesta :

Answer:

Mary is incorrect

Step-by-step explanation:

We are given the following in the question:

Number of times the spinner landed on green color = 9

P(Green) =

[tex]\dfrac{1}{6}[/tex]

Mary claimed that there must be 45 trials.

[tex]\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}[/tex]

P(Green) =

[tex]\dfrac{\text{Number of times spinner landed on green}}{\text{Total number of trials}}\\\\\Rightarrow \dfrac{9}{x}=\dfrac{1}{6}\\\\\Rightarrow x = 9\times 6 = 54[/tex]

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

Answer:

A

Step-by-step explanation:

I got it correct on the test