Question

How do I do this? See picture below. Thanks

Answer 1

(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.

Answer 2

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.