A man has 3 pairs of shoes, 3 suits, and 4 shirts. If he picks a pair of shoes, a suit, and a shirt at random, what is the probability that he picks his favorite shoes, suit, and shirt? (Enter your probability as a fraction.
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1. probability of shoes
n(s)=20
n(e)=6
Therefore p(e)=n(e)/n(s)
= 6/20
= 3/10
therefore the probability of shoes is 3/10
2. probability of suit
n(s)=20
n(e)=6
Therefore p(e)=n(e)/n(s)
=6/20
=3/10
therefore the probability of suit is 3/10
3. probability of shirts
n(s)=20
n(e)=8
Therefore p(e)=n(e)/n(s)
=8/20
=4/10
=2/5
therefore the probability of shirts is 2/5
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