Suppose A and B are two events such that P(A ∩ B)=(3/25) and P(B-A)=(8/25) . Then, P(B) is equal to

Question

Suppose A and B are two events such that P(A ∩ B)=(3/25) and P(B-A)=(8/25) . Then, P(B) is equal to (A) (11/25) (B) (3/11) (C) (1/11) (D) (9/11)

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/57c4180c43c5e70564a0e03670b54e2c-.png" /> Given, P(A ∩ B)=(3/25) P(B-A) =(8/25) Then according to figure P(B)=P(A ∩ B)+P(B-A) P(B)=(3/25)+ (8/25) ⇒ P(B)=(11/25)

Q. Suppose $A$ and $B$ are two events such that $P (A \cap B) = \frac{3}{25}$ and $P (B - A) = \frac{8}{25} .$ Then, $P (B)$ is equal to

$\frac{11}{25}$

$\frac{3}{11}$

$\frac{1}{11}$

$\frac{9}{11}$

Given, $P (A \cap B) = \frac{3}{25}$
$P (B - A) = \frac{8}{25}$
Then according to figure
$P (B) = P (A \cap B) + P (B - A)$
$P (B) = \frac{3}{25} + \frac{8}{25}$
$\Rightarrow P (B) = \frac{11}{25}$

Q. Suppose A and B are two events such that P(A∩B)=253​ and P(B−A)=258​. Then, P(B) is equal to

2511​

113​

111​

119​