Question

Can someone please help me with this very confusing math, I have tried multiple times but I still couldn't find the correct answers for each problem. :(

Answer 1

EXPLANATION

The theoretical probability of landing on grey is given by the following relationship:

`\text{Probability(grey)}=\frac{Number\text{ of favourable outcomes}}{\text{Total Number of Possible Outcomes}}`

The total number of possible outcomes is equal to 10.

The number of favourable outcomes is equal to 4.

`\text{Probability(grey)}=(4)/(10)=0.4`

The theoretical probability is 0.4

b) From Nicole's result, the experimental probability of landing on grey is as follows:

Total number of experiments = 390 + 410 + 200 = 1000

Total number of favourable experiments = 410

Replacing terms:

`\text{Probability(grey)}=(410)/(1000)=0.41`

The experimental probability is 0.41.

c) Assuming that the spinner is fair, the statement that is true is the following:

"The larger the number of spins, the greater the likelihod that the experimental probability will be close to the theoretical probability".