Question

Determine if events A and B are independent.

P(A) = 9/20 P(B) = 7/10 P(A and B) = 63/200
A) Dependent
B) Independent

Answer 1

B) Independent

Explanation:

Independent events:

Two events, A and B are independent, if:

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

In this question:

`P(A \cap B) = (63)/(200)`

`P(A) * P(B) = (9)/(20)*(7)/(10) = (9*7)/(20*10) = (63)/(200)`

Since
`P(A \cap B) = P(A) * P(B)`, these events are independent.