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by **elizabeth** » Wed Jan 29, 2014 7:11 am

Probability- IB Mathematics HL – IB maths HL

How can we find the probability $P(A\cap B’)$ if A and B are two events such that $P(A)=0.5$ , $P(B)=0.3$ and $P(A \cup B)=0.7$ ?

Thanks

by **miranda** » Wed Jan 29, 2014 7:13 am

Probability - IB Mathematics HL – IB maths HL

We know that

$P(A \cup B)=P(A)+P(B)-P(A \cap B) \Rightarrow$

$P(A \cap B)=0.5+0.3-0.7=0.1$

Finally, we have

$P(A \cap B’)=P(A)-P(A \cap B) =0.5-0.1=0.4$

Hope these help!!

by **elizabeth** » Wed Jan 29, 2014 7:14 am

Thank you!

ib maths4u | ib maths | ib math | ib mathematics

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