Question

A DVD rental shop 600 movies in store, of which 300 are action movies, 150 are
thrillers, 100 are dramas, and 50 are comedies. At the beginning of a Saturday evening they
have all their movies in store. They will not get any movies returned until Sunday morning.
All customers of the shop pick a movie fully at random.
• Calculate the probability that the first two customers of the Saturday evening will both
rent a comedy or a drama.
1
• Calculate the probability that the first customer of the Saturday evening will rent a thriller,
and the second will rent an action movie.
• Calculate the probability that the first two customers of the Saturday evening will rent
movies of a different genre. Tip: use the concept of complimentary probability for this.

Answer 1

is Ginen There aha 600 movies in a slove, het A, T o,c be the events that the movie is of type action, thriller, drama to comedij respectively so, no CA)= 300, Rat) = 150, Moj= 100 ACC2 = so. į rent a comenty or a Laama. Probability bath - 50x49 600 593 t o 99 6oo +599 ů Probability of first rent a chailean & feconda action. 2 monie of different genre. = 1- movie of some genre = 1 - 300x299 1500149 - looxgg Gosgg - Goo+599 - 6a.x5gg - 50x49 600x599 = S 1 -0.346 0.653