Question

Probability:

In a lottery there are 24 prizes allocated at random to 24 prize-winners. Ann, Ben, and Cal are three of the winners. Of the prizes, 4 are cars, 8 are bicycles and 12 are watches. Show that the probability that Ann gets a car and Ben gets a bicycle or a watch is 10/69. Also, find the following


i) the probability that either Ann or Cal (OR BOTH) gets a car
ii) the probability that Ann gets a car and Ben gets a car or bicycle

Answer 1

Need help with part 2.

Answer 2

I was thinking this:

P( (Ann gets car) and (ben gets (bicycle or car))
=

P (Ann gets car) x P(B gets car) x P(B gets bicycle) - P(Ben gets both bicycle and car).

But it doesn't seem to work.