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You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area.Let B = the event of landing on blue.Let R = the event of landing on red.Let G = the event of landing on green.Let Y = the event of landing on yellow.If you land on Y, you get the biggest prize. Find P(Y). (Enter your probability as a fraction.)

Question

You see a game at a local fair. You have to throw a dart at a color wheel. Each section on the color wheel is equal in area.Let B = the event of landing on blue.Let R = the event of landing on red.Let G = the event of landing on green.Let Y = the event of landing on yellow.If you land on Y, you get the biggest prize. Find P(Y). (Enter your probability as a fraction.)

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Solution

The problem states that each section on the color wheel is equal in area. This means that the probability of landing on any given color is the same.

There are four events: B (blue), R (red), G (green), and Y (yellow).

Since each event is equally likely, the probability of each event is 1/4.

Therefore, the probability of landing on yellow, P(Y), is 1/4.

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