Question

if A and B are independent events such that odds in favour of A is 2:3 and odds against B is 4:5 then p( A n B) =​

Answer 1

SOLUTION

GIVEN

A and B are independent events such that odds in favour of A is 2 : 3 and odds against B is 4 : 5

TO DETERMINE

The value of P( A ∩ B)

EVALUATION

Here it is given that the odds in favour of A is 2 : 3

$\displaystyle \sf{ \therefore \: P(A) = \frac{2}{2 + 3} = \frac{2}{5} }$

Again the odds against B is 4 : 5

$\displaystyle \sf{ \therefore \: P(B) = \frac{5}{4+ 5} = \frac{5}{9} }$

Now it is given that A and B are independent events

So the required probability

= P( A ∩ B)

$\displaystyle \sf{ = \: P(A) \times P(B) }$

$\displaystyle \sf{ = \frac{2}{5} \times \frac{5}{9} }$

$\displaystyle \sf{ = \frac{2}{9} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. The sun rises from north. What is the probability

https://brainly.in/question/25984474

2. probability of a 10 year flood occurring at least once in the next 5 years is

https://brainly.in/question/23287014