The probability that a student Mr.x passes Mathematics is 2/3, the probability that he passes statistics is 4/9. if the probability of passing at least one subject is 4/5, what is the probability that Mr.X will pass both the subject?

1 Answer
MattyMatty
Apr 24, 2018

#14/45#

Explanation:

#"P(A or B) = P(A) + P(B) - P(A and B)"#
#"Take"#
#"A = Mr x passes Mathematics"#
#"B = Mr x passes Statistics"#
#"Then we have"#
#"P(A or B) = 4/5 = 2/3 + 4/9 - P(A and B)"#
#=> " P(A and B) = 2/3 + 4/9 - 4/5"#
#= (30 + 20 - 36)/45#
#= 14/45#

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