Question

The probability that a family owns a house is .65 and that a family owns a camcorder is .12. Assuming that these two events are independent, find the probability that a family selected at random owns a house but does not own a camcorder.

Answer 1

Solution:

Let denote the event that the family owns a house and denote that family doesn't own a house.

denote the event that family owns a camcorder and denote that family dosen't own a camcorder.

According to question:

As the two events are independent:

Here, denote the event that family owns a house but not a camcorder.

So,

Hence, the required probability of the event that family owns a house but not a camcorder is .