In a certain health club, half the members are women, one-third of the members use free weights, and one-fifth of the members are women who use free weights. A female member is elected treasurer. What is the probability that she uses free weights?

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Answer 1 · 2017-07-11T12:42:46

Let's divide the women:

Half of the members are women (=#50%# of total)
1/5 of the members are free weights women (=#20%# of total)

The chance of a woman using free weights is thus:
#20/50=2/5#