EXPLANATION
The theoretical probability of landing on grey is given by the following relationship:
[tex]\text{Probability(grey)}=\frac{Number\text{ of favourable outcomes}}{\text{Total Number of Possible Outcomes}}[/tex]
The total number of possible outcomes is equal to 10.
The number of favourable outcomes is equal to 4.
[tex]\text{Probability(grey)}=\frac{4}{10}=0.4[/tex]
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:
[tex]\text{Probability(grey)}=\frac{410}{1000}=0.41[/tex]
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".
