How do I do this? See picture below. Thanks

May 20, 2018

(a) $0.618$
(b) $0.600$
(c) "The larger the number of spins, the greater..."

Explanation:

(a) Out of $1000$ spins, the spinner landed on grey $618$ times. To find the experimental probability, divide the number of desired results by the number of total results: $\frac{618}{1000} = 0.618$

(b) In theory, each slice should be landed on an equal number of times, as they are equally sized. Since $3$ of the $5$ slices are grey, the probability that a randomly selected slice will be grey is $\frac{3}{5} = 0.6$

(c) The law of large numbers indicates that the experimental results of an experiment tend to "even out" towards the theoretical average.

May 20, 2018

Refer to the explanation.

Explanation:

$\left(a\right)$ Experimental probability of landing on a grey slice:

Divide the number of times the spinner landed on a grey slice by the total number of spins.

$\frac{618}{1000} = 0.618$ or 61.8 %

$\left(b\right)$ Theoretical probability of landing on a grey slice:

Divide the number of grey slices by the total number of slices.

$\frac{3}{5} = 0.6$

or

$\frac{6}{10}$

or

60%

$\left(c\right)$ The larger the number of spins, the greater the likelihood that the experimental probability will be close the the theoretical probability.