SOLUTION: Suppose the probability of A is .3, the Probability of B is .45 and the probability of P(A or B)=.7; what is the probability of A and B, that is P(A and B)?

Algebra ->  Probability-and-statistics -> SOLUTION: Suppose the probability of A is .3, the Probability of B is .45 and the probability of P(A or B)=.7; what is the probability of A and B, that is P(A and B)?      Log On


   

Question 273346: Suppose the probability of A is .3, the Probability of B is .45 and the probability of P(A or B)=.7; what is the probability of A and B, that is P(A and B)?
Answer by jim_thompson5910(35256) About Me  (Show Source):
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Remember that P(A or B) = P(A) + P(B) - P(A and B). So simply solve for P(A and B) to get


P(A and B) = P(A) + P(B) - P(A or B)


Now just plug in the given values and simplify.