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Yuri [45]
3 years ago
8

A rectangular mat has a length of 12 in. and a width of 4 in. Drawn on the mat are three circles. Each circle has a radius of 2

in. Some friends play a game throwing darts onto the mat to see who can land a dart in one of the circles.
Assuming that a dart always lands on the mat, what is the probability that a dart thrown at random will land inside one of the circles?

Use 3.14 to estimate Pi.

Enter your answer, as a decimal rounded to the nearest hundredth, in the box.



P(landing in a circle) =

Mathematics
1 answer:
pickupchik [31]3 years ago
7 0

|\Omega|=4\cdot12=48\\ |A|=3\cdot3.14\cdot2^2=37.68\\\\ P(A)=\dfrac{37.68}{48}\approx0.79

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Combination is the number of ways to select <em>k</em> items from <em>n</em> distinct items when the order of selection does not matters.

Whereas permutation is the number of ways to select <em>k</em> item from <em>n</em> items when order of selection matters.

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The number of ways to select 5 people for Grand Prize is, {22\choose 5}=\frac{22!}{5!(22-5)!} =26334.

The remaining number of people is, 22 - 5 = 17.

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The total number of ways to select 10 winners of 22 is:

Total number of ways = 26334 × 742560 = 19,554,575,040.

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