A committee of 2 people is to be selected out of 3 teachers and 4 preachers. If the committee is selected at random, what is the probability that the committee will be composed of at least 1 preacher?
Choose the correct choice from the following answers
A) 1/4 B) 1/3 C) 2/3 D) 6/7 E) 8/9
Total no of ways in which you can select a committee of 2 people out of 7 people is 7C2 ways= 21 ways   Requirement is at-least 1 preacher= 4C1*3C1+4C2 or 7C2-3C2=18 ways   Probability= 18/21 = 6/7   ANSWER:6/7
<result>D</result>
A committee of 2 people is to be selected out of 3 teachers and 4 preachers. If the committee is selected at random, what is the probability that the committee will be composed of at least 1 preacher?