How do I do this? See picture below. Thanks

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2 Answers
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: 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 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:

(a) 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.

618/1000=0.618 or 61.8 %

(b) Theoretical probability of landing on a grey slice:

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

3/5=0.6

or

6/10

or

60%

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