On a track and field team, 8% of the members run only long-distance, 32% compete only in field events, and 12% are sprinters only. Find the probability that a randomly chosen team member runs only long-distance or competes only in field events.
Accepted Solution
A:
Answer:0.40Step-by-step explanation:Members who run only long distance = 8%So, probability that a member will run only long distance = P(A) = 0.08Members who compete only in field events = 32%So, probability that a member will compete only in field events = P(B) 0.32Members who are sprinters = 12%So, probability that a member is sprinter = P(C) 0.12We have to calculate the probability that a randomly chosen team member runs only long-distance or competes only in field events. i.e we have to find P(A or B). Since these events cannot occur at the same time, we can write:P(A or B) = P(A) + P(B)Using the values, we get:P(A or B) = 0.08 + 0.32 = 0.40Thus, the probability that a randomly chosen team member runs only long-distance or competes only in field events is 0.40