A city has people with Blood Types as follows: Type O 45%
Type A 40%
Type B 11%
Type AB 4%
Two persons are selected at random from the city.
Find the probability that at least one person is of Blood Type O.
Answer ___

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Worked solution

7

1. Find the probability that a selected person is not of Blood Type O.

P(not O)=100%−45%=55%=0.55P(\text{not O})=100\%-45\%=55\%=0.55

2. Use the complement of 'at least one Type O' for two selections.

P(at least one O)=1−P(no O)P(\text{at least one O})=1-P(\text{no O})

=1−(0.55)(0.55)=1-(0.55)(0.55)

=1−0.3025=1-0.3025

=0.6975=0.6975

Answer

0.69750.6975

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