How do I do this? See picture below. Thanks

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2 Answers
kxoraxe
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.

Meave60
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.

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