Three cable channels (95, 97, and 103) air quiz shows, comedies, and dramas. There are 14 total quiz shows with channel 95 having 8 and channel 97 having 5. There are 16 comedies with 6 of them...

Three cable channels (95, 97, and 103) air quiz shows, comedies, and dramas.
There are 14 total quiz shows with channel 95 having 8 and channel 97 having 5. There are 16 comedies with 6 of them appearing on channel 103. There are 5 dramas on channel 95 and 2 dramas on channel 97. Channel 97 has 15 total shows while channel 103 has 14 total shows. All together there are 44 different shows. What is the probability that a show is on channel 97 and it is drama? What is the probability that a show is on channel 95 or on channel 103?

justaguide | College Teacher | (Level 2) Distinguished Educator

Posted on

The question has been edited as you are not allowed to ask multiple questions in a single post.

Three cable channels (95, 97, and 103) air quiz shows, comedies, and dramas. From the information provided there areĀ 2 dramas on channel 97. Using the fact that the total number of shows is 44 and the number of shows on channel 97 is 15, the number of shows on channel 95 and channel 103 is 44 - 15 = 29.

As the total number of shows is 44, the probability that a show is on channel 97 and it is drama is 2/44 = 1/22. The probability that a show is on channel 95 or on channel 103 is 29/44

The probability that a show is on channel 97 and it is drama is 1/22 and the probability that a show is on channel 95 or on channel 103 is 29/44