Question

describing likely and unlikely events
assume the large circle is decreased in size, but it is still larger than the middle circle. which is true?
○ the probability of scoring 0 is more likely.
○ the probability of scoring 2 is more likely.
○ the probability of scoring 4 is more likely.
○ the probability of scoring 8 is more likely.

Explanation:

Probability of an event (scoring a certain number of points) is related to the area of the region corresponding to that event. The region for scoring 0 is the area of the square not covered by the large circle. When the large circle is decreased in size (but still larger than the middle circle), the area of the square not covered by the large circle (the 0 - point region) increases. Larger area means a higher probability of the event (scoring 0) occurring compared to scoring 2, 4, or 8 (whose corresponding circular regions have smaller areas relative to the 0 - point region now).

Answer:

The probability of scoring 0 is more likely.