All G.

asked • 06/06/18

Probability

Could you please help me out with this question?
 
A spinner is split in 5 equal parts, one green, one orange, one yellow, one red, one blue.  Theoretically, if the spinner is spun 500 times, how many times would you expect it to land on orange?

1 Expert Answer

By:

All G.

Hi John, 
 
Could you please explain this further with more mathematical process details?

Thank you,
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06/10/18

John M.

tutor
There are five equal parts, each a different color, that the spinner could possibly land on.  It can only land on one part with each spin.  So divide the number of parts it can land on each time by the number of possible parts it could land on and you get a probability that it will land on orange of 1/5.  Multiply this probability by the number of spins and you will get the expected number of times it will land on orange.  For example, if you spin it 5 times you would expect it to land on orange 5x1/5= 1 time.  If you spin it 10 times you would expect it to land on orange 10x1/5= 2 times.  Likewise 500x1/5= 100 times it would be expected to land on orange.
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06/10/18

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