A box contains 10 pairs of shoes (20 shoes in total). If two shoes are selected at random, what it is the probability that they are matching shoes?
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Total number of shoes 20
Out of 20 shoes 2 can be selected in C(20,2)ways
We want 2 matching shoes.
First make 2 matching shoes as 1 unit.
Now there are 10 units
Out of 10 units 1 unit can selected in C(10,1) WAYS.
PROBABILITY OF SELECTING 2 MATCHING SHOES =C(10,1)/C(20,2)=10/190=1/19
Out of 20 shoes 2 can be selected in C(20,2)ways
We want 2 matching shoes.
First make 2 matching shoes as 1 unit.
Now there are 10 units
Out of 10 units 1 unit can selected in C(10,1) WAYS.
PROBABILITY OF SELECTING 2 MATCHING SHOES =C(10,1)/C(20,2)=10/190=1/19
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