Yolanda is taking Biology & Calculus. Probability of passing is Cal is .55. failing bio is .6. passing at least one of the classes is .7. find probability of. a) Yolanda will pass bio. b) yolanda will fail both classes c) Yolanda will pass one class
P(C) = 0.55
P(C U B) =0.7
P(pass bio) = 0.4
P(Cc ∩ Bc
) = 1-0.7 =0.3
P(fail both classes) =0.3
P( C ∩ B) = P(C) +P(B)
–P( C U B) = 0.55+0.4 -0.7 = 0.25
P( C ∩ Bc )
= P(C)- P( C ∩ B) = 0.55 -0.25 = 0.3
P( pass one class) =0.3+0.15 = 0.45
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