If P(A) = 5 and P(B) = 5 , find P(A B) if A and B are independent events.

As A and B are independent events, P(A B) = P(A)P(B) = 5 5 = 25

Probability — Class 12 Maths Solution

ncert exercise SA NCERT,EX.13.2,Q.1,Page.546

Question

If $P(A) = \cfrac{3}{5}$ and $P(B) = \cfrac{1}{5},$ find $P(A \cap B)$ if $A$ and $B$ are independent events.

Step-by-step Solution

As $A$ and $B$ are independent events,

$P(A \cap B) = P(A)P(B) = \cfrac{3}{5} \times \cfrac{1}{5} = \cfrac{3}{{25}}$

NCERT & Exemplar solution for CBSE Class 12 Mathematics, Probability. Curated by Sachin Sharma. Free for all students.