On a track and field team, 8% of the members run only long-distance, 32% compete only in field events, and 12% are sprinters onl

Question

stiv31

1 month ago

8

On a track and field team, 8% of the members run only long-distance, 32% compete only in field events, and 12% are sprinters onl

y. Find the probability that a randomly chosen team member runs only long-distance or competes only in field events.

Mathematics

1 answer:

lawyer [12.5K] · Answer 1 · 2026-04-06T13:37:23+03:00

Answer:

0.40

Step-by-step explanation:

The percentage of members who engage only in long-distance running is 8%

Therefore, the probability that a member focuses solely on long-distance running is P(A) = 0.08

The percentage of members who participate exclusively in field events is 32%

Thus, the probability of a member competing only in field events is P(B) = 0.32

The percentage of members acting as sprinters is 12%

So, the probability that a member is a sprinter is P(C) = 0.12

We need to determine the probability that a team member is either an exclusive long-distance runner or an only field event competitor, which equates to finding P(A or B). Since these two events cannot occur simultaneously, we can express this as:

P(A or B) = P(A) + P(B)

Substituting the known values results in:

P(A or B) = 0.08 + 0.32 = 0.40

Thus, the likelihood that a randomly selected team member runs exclusively long-distance or participates solely in field events stands at 0.40