asked 59.2k views
3 votes
Trisha has a game board as shown below, which is a square that has a total area of 400 square inches. The area of the large circle is 314 square inches.What is the probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square? Round decimals to two decimal places. 0.22 0.25 0.79 0.82

2 Answers

3 votes

Answer:

A. 0.22

Explanation:

answered
User Krzysztof
by
8.5k points
2 votes

Answer: First option is correct.

Explanation:

Since we have given that

Total area of square inches = 400

The area of the large circle = 314

Now, we need to find the probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square,

Let E be the event the Trisha will get points .

so,


P(E)=(314)/(400)

As we know that


P(E')=1-P(E)\\\\P(E')=1-(314)/(400)\\\\P(E')=(400-314)/(400)\\\\P(E')=(86)/(400)\\\\P(E')=0.215=0.22

So, Probability that Trisha will not get any points with one randomly thrown dart that lands somewhere inside the square = 0.22

So, First option is correct.

answered
User Madan
by
8.2k points

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