Question

there are 2 comedies, 5 tragedies and 6 musicals available for production.

you randomly select 4 titles from the group to read

find the probability that you choose 1 comedy, 1 tragedy, and 2 musicals

Answer 1

There are totally 2 + 5 + 6 = 13 titles

Four titles can be chosen from 13 titles in C(13, 4) ways = 715 ways

One comedy can be chosen from 2 comedies in C(2, 1) ways = 2 ways

One tragedy can be chosen from 5 tragedies in C(5, 1) ways = 5 ways

Two musicals can be chosen from 6 musicals in C(6, 2) ways = 15 ways

One comedy, one tragedy and two musicals can be chosen in 2 * 5 * 15 = 150 ways

Probability = 150/715 = 30/143 = 0.21

[Please give me a Thumbs Up if you are satisfied with my answer. If you are not, please comment on it, so I can edit the answer. Thanks.]