Question

A and B are independent events if...

Answer 1

(C) The probability of buying bread and cheese is 0.12

Explanation:

P(Event A) = 0.6

P(Event B) = 0.2

If Event A and Event B are independent,

Then P(Event A and Event B) = 0.6 x 0.2 = 0.12

Answer 2

A and B are independent events if:

C. The probability of buying bread and cheese is : 0.12

Explanation:

Two events A and B are said to be independent.

if P(A∩B)=P(A)×P(B)

where P denote the probability of an event.

Here,

Event A= A shopper buys bread

and Event B=A shopper buys cheese

Also we have:

P(A)= 0.60 and P(B)= 0.20

If A and B are independent events then,

P(A∩B)=0.60×0.20

i.e.

P(A∩B)=0.12

i.e.If A and B are independent then the probability of buying bread and cheese is: 0.12

Also we know that:

P(A∪B)=P(A)+P(B)-P(A∩B)

If A and B are independent then,

P(A∪B)=0.60+0.20-0.12

i.e.

P(A∪B)=0.68

If A and B are independent then the probability of buying bread or cheese is: 0.68