Question

in a local fitness club 32% of the members lifted weights, 41% preferred aerobics and 6%preferred both.if a member is chosen at random, find the probability that the member prefers another method neither weights nor aerobics to exercise

Answer 1

Members lifted weights: W=32%
Members preferred aerobics: A=41%
Members preferred both: B=6%
Members lifted weights only: Wo=W-B=32%-6%→Wo=26%
Members preferred aerobics only: Ao=A-B=41%-6%→Ao=35%
Find the probability that the member prefers another method neither weights nor aerobics to exercise: N=?

N=100%-Wo-Ao-B
N=100%-26%-35%-6%
N=100%-67%
N=33%

Answer: The probability that the member prefers another method neither weights nor aerobics to exercise is 33%