218k views
4 votes
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 Jellycsc
by
8.3k points

1 Answer

4 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 Joe Landsman
by
8.3k points

Related questions

asked Jun 7, 2024 233k views
LumbusterTick asked Jun 7, 2024
by LumbusterTick
8.4k points
2 answers
2 votes
233k views
asked May 2, 2024 30.5k views
Jorenko asked May 2, 2024
by Jorenko
8.5k points
1 answer
0 votes
30.5k views