Question

Could anyone help me decipher this alien language????​

Answer 1

OPTION A:
`$ (11)/(20) $`

Explanation:

`$ P(A | B) = (P(A \cap B))/(P(B)) $`

`$ P(not B) = 1 - P(B) = 1 - (13)/(20) = (7)/(20) $`

`$ \implies P(A \cap B)= P(A | B) * P(B)  $`

`$ = (11)/(20) * (7)/(20) $`

Let us keep it without multiplying for easy simplification later.

Also, let us assume A and B are independent events.

`$ P(A \cap B) = P(A) * P(B) $`

`$ \implies (11)/(20) * (7)/(20) = P(A) * (7)/(20) $`

`$ \implies P(A) = (11)/(20) $`

Hence, OPTION A 11/20 is the answer.