A committee of 5 is to be formed from among 2 mathematics te

A committee of 5 is to be formed from among 2 mathematics teachers, 2 english teachers, 2 science teachers, and 2 humanitees teachers. If all such committes are equally likely, what is the probability that the committee contains at least 1 English teacher?

Solution

Dear Student Thank you for using Chegg Given data of no of teachers Subject No of Teachers Mathematics 2 English 2 Science 2 Humanities 2 Now committee is to be formed with 5 teachers Probability of selection of 5 committee members with no english teacher is Favourable cases = 6C5 = 6 Total cases = 8C5 = 56 Probability (A) = 0.107143 Probability with atleast one english teacher is 1-A 0.892857 Answer