Question

The probability of occurrence of event a is 0.3 and that of event b is 0.4. the events are independent. what is the probability of occurrence of both a and b?

Answer 1

P(A) = 0.3
P(B) = 0.4

The probability of occurence of both A and B
P(A ∩ B) = P(A) × P(B)
P(A ∩ B) = 0.3 × 0.4
P(A ∩ B) = 0.12

Answer 2

Answer:

The probability of occurrence of both a and b is 0.12.

Step-by-step explanation:

Given : The probability of occurrence of event a is 0.3 and that of event b is 0.4. the events are independent.

To find : What is the probability of occurrence of both a and b?

Solution :

The probability of occurrence of event a is 0.3.

i.e. P(a)=0.3

The probability of occurrence of event b is 0.4.

i.e. P(b)=0.4

When the events are independent then the occurrence of both a and b.

$P(a\cap b)=P(a)\times P(b)$

$P(a\cap b)=0.3\times 0.4$

$P(a\cap b)=0.12$

Therefore, The probability of occurrence of both a and b is 0.12.