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According to the Venn diagram, if P(A) = 0.4 and P(B) =0.45, what is P(AB)?A10 B

According to the Venn diagram, if P(A) = 0.4 and P(B) =0.45, what is P(AB)?A10 B-example-1
User Wakachamo
by
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1 Answer

22 votes
22 votes

Given:

There are given that the probability of A and probability of B.


\begin{gathered} P(A)=0.4 \\ P(B)=0.45 \end{gathered}

Step-by-step explanation:

To find the value, we need to use the formula of the probability of A union probability B.

So,

From the formula:


P(AUB)=P(A)+P(B)-P(A\cap B)

Where,


P(A\cap B)=0.10

Now,

Put all the values into the above formula:

So,


\begin{gathered} P(AUB)=P(A)+P(B)-P(A\operatorname{\cap}B) \\ P(AUB)=0.4+0.45-0.10 \\ P(AUB)=0.75 \end{gathered}

Final answer:

Hence, the correct option is B.

User Barrrettt
by
2.6k points
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