Question

Please answer ASAP!!

Abdul and his friends are playing a game by throwing darts onto the board.
A dartboard. From smallest to largest, the circles are labeled 20, 15, 10, 5.

What is the likelihood that Abdul will score at least 10 points when throwing one dart, assuming that the dart lands on the board?

1. It is certain.
2. It is impossible.
3. It is likely.
4. It is unlikely.

Answer 1

3

Explanation:

Answer 2

3. It is likely.

Explanation:

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

Then the areas covered will be as:

• 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

So the correct answer choice is: 3. It is likely