If the probability of a person having a pair of cream shoes is 28.5%, the probability of having a blue shirt is 73.2% and the probability of having a pair of cream shoes and a blue shirt is 22.5%, then what is the probability of the person having a pair of cream shoes or a blue shirt?A79.2%B80.3%C85.6%D97.8%
Question
If the probability of a person having a pair of cream shoes is 28.5%, the probability of having a blue shirt is 73.2% and the probability of having a pair of cream shoes and a blue shirt is 22.5%, then what is the probability of the person having a pair of cream shoes or a blue shirt?A79.2%B80.3%C85.6%D97.8%
Solution
The probability of a person having a pair of cream shoes or a blue shirt can be calculated using the formula:
P(A or B) = P(A) + P(B) - P(A and B)
where: P(A) is the probability of having a pair of cream shoes (28.5%), P(B) is the probability of having a blue shirt (73.2%), and P(A and B) is the probability of having both a pair of cream shoes and a blue shirt (22.5%).
Substituting the given values into the formula gives:
P(A or B) = 28.5% + 73.2% - 22.5% = 79.2%
So, the probability of the person having a pair of cream shoes or a blue shirt is 79.2%. Therefore, the correct answer is A79.2%.
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