Question

The probability that a randomly selected person has high blood pressure (the event H) is P(H) = 0.2 and the probability that a randomly selected person is a runner (the event R) is P(R) = 0.4. The probability that a randomly selected person has high blood pressure and is a runner is 0.1. Find the probability that a randomly selected person either has high blood pressure or is a runner or both.

a) 0.8

b) 0.4

c) 0.6

d) 0.9

e) 0.5

f) None of the above.

Step 1

Given: P(H) = 0.2 , P(R) = 0.4 ,

Probability that events H and R occur = P( H ∩ R) = 0.1

Probability that events H or R or both occur = P(H U R) = P (H) + P(R) – P(H∩R)

= 0.2 + 0.4 – 0.1

= 0.5

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