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the wheel on the tv program wheel of fortune is first divided equally into 24 compartments with one labeled"lose a turn" find the probability that the wheel stops a "lose turn" for each of the following a.single spinb.two successive spins c. three successive spins (complete solution)​

User Adyusuf
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1 Answer

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Answer:

a)
(1)/(24) probability that the wheel stops a "lose turn" for a single spin.

b)
(1)/(576) probability that the wheel stops a "lose turn" for two successive spins.

c)
(1)/(13824) probability that the wheel stops a "lose turn" for three successive spins.

Explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

24 components on the wheel, one of which is "lose a turn"

This means that each time the wheel stops, there is a
(1)/(24) probability that it stops at lose a turn.

a.single spin

Only one spin, so:


((1)/(24))^1 = (1)/(24)


(1)/(24) probability that the wheel stops a "lose turn" for a single spin.

b.two successive spins

Two spins, so:


((1)/(24))^2 = (1)/(576)


(1)/(576) probability that the wheel stops a "lose turn" for two successive spins.

c. three successive spins

Three spins, so:


((1)/(24))^3 = (1)/(13824)


(1)/(13824) probability that the wheel stops a "lose turn" for three successive spins.

User Takao
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