If PA-0-25- PB-0-50- and PA- B-0-14- thenPA- B- is equal to

Explanation for the correct option.Given information P(A)=0.25, P(B)=0.50 and P(A∩ B)=0.14.Recall this formula: P(A∩ B')=P(A) P(A∩ B)Substitute the value[ P(A∩ ...

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Standard X

Mathematics

Intersection of Sets

If PA=0.25, P...

Question

If $P (A) = 0.25, P (B) = 0.50$ , and $P (A \cap B) = 0.14$ , then $P (A \cap B')$ is equal to

$0.61$

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$0.39$

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$0.48$

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None of these

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Solution

The correct option is D
None of these

Explanation for the correct option.
Given information
$P (A) = 0.25, P (B) = 0.50$ and $P (A \cap B) = 0.14$ .
Recall this formula:
$P (A \cap B') = P (A) - P (A \cap B)$
Substitute the value
$\begin{array}{rcl} P (A \cap B') & = & 0.25 - 0.14 \\ = & 0.11 \end{array}$
Hence, option D is correct.

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