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kap26 [50]
3 years ago
9

Please answer ASAP!!

Mathematics
1 answer:
belka [17]3 years ago
4 0

Answer:

3. It is likely.

Step-by-step explanation:

Let's assume the dartboards circles have radius of r, 2r, 3r and 4r from inner side

<u>Then the areas covered will be as:</u>

  • point 20 = πr² = S
  • point 15 = π(2r)² - πr² = 3πr² = 3S
  • point 1 0 = π(3r)² - π(2r)² = 5πr² = 5S
  • point 5 = π(4r)² - π(3r)² = 7πr² = 7S

Total area of the dartboard is S+3S+5S+7S = 16S

The area of point 5 is 7S. And the area of non- 5 point is 16S - 7S = 9S

The probability of scoring at least 10 points is:

  • 9S/16S = 0.5625

As it is between 1/2 and 1, the probability is in 'likely' region

<u>So the correct answer choice is:</u> 3. It is likely

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