To maintain their physical fitness, Americans are exercising more than ever in a variety of ways. Bradley and Robbins interviewed many Americans to determine how they were exercising. In How American Exercise, they present the following: 53% jog, 44% swim, 46% cycle, 18% jog and swim, 15% swim and cycle, 17% jog and cycle, and 7% jog, swim, and cycle. If an American who exercises regularly is randomly selected, what is the probability that the person either jogs, swims or cycles to maintain physical fitness?
Do Carefully
here let probability of jog, swin and cycle are P(A),P(B) and P(C) respectively
from above: P(A) =0.53 ; P(B) =0.44 ; P(C)=0.46 ; P(A n B) =0.18 ; P(A C) =0.17 ; P(B n C) =0.15
P(A n B n C )=0.07
hence probability that the person either jogs, swims or cycles to maintain physical fitness
=P(A u B u C) =P(A)+P(B)+P(C)-P(A n B)-P(A n C)-P(B n C) +P(A n B nC)
=0.53+0.44+0.46-0.18-0.17-0.15+0.07 =1.00
To maintain their physical fitness, Americans are exercising more than ever in a variety of ways....
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