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I need a tutor for algebra

User DubDub
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1 Answer

5 votes

Answer:

0.40

Step-by-step explanation:

From the question, we're given that;

* 8% of the members run only long-distance, so the probability that a member of the team will run only long-distance, P(A) = 8/100 = 0.08

* 12% compete only in non-running events, so the probability that a member will compete only in non-running events, P(B) = 12/100 = 0.12

* 32% are sprinters only, so the probability that a member is a sprinter only P(C) = 32/100 = 0.32

We're asked in the question to determine the probability that a randomly chosen team member runs only long-distance or competes only in sprint events, since these events cannot occur at the same time, we can use the below formula to solve as shown below;


P(\text{A or C) = P(A) + P(C)}

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