Question

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Answer 1

I got 218.34

Answer 2

Probability has to be a number between 0 and 1 inclusive

Answer 3

I thought I have to get both areas and subtract first.

Answer 4

No matter what, probability is always\[0\le P \le 1\]

Answer 5

Subtracting areas doesn't give you a probability. It just gives you another area.

Answer 6

The probability that the dart lands in the shaded area is proportional to how big that shaded area is, compared with the total area of the circle. When the shaded area is the entire circle, the probability that the dart lands in the shaded area is 1 aka 100%, since we are given that the dart landed somewhere in the circle.

Answer 7

The only reason you would want to subtract the area is if you wanted to find the area of the part of the circle that isn't shaded in.

Answer 8

Also consider if we shaded in half of the circle. Then the probability would be 50% or 0.5

Answer 9

In general, the probability that the dart landed in the shaded area is:\[Probability=\frac{shaded\_area}{area\_of\_circle}\]

Answer 10

218.34 can't be a probability because, if we converted it to a percent by multiplying by 100%, we would get 21834%, which doesn't make any sense.