Theory question 106
Probability(a) The probability that Kunle solves a particular questions is 1/3 while that of Tayo is 1/5. If both them attempt the question, find the probability that only one of them will solve the question. (b) A committee of 8 is to be chosen from 10 persons. In how many ways can this be done if there is no restriction?
Show the model answer
Model answer
(a) Kunle only: (1/3)(4/5) = 4/15; Tayo only: (2/3)(1/5) = 2/15. Total 6/15 = 2/5.
(b) ¹⁰C₈ = 45 ways.
Explanation
'Only one' means one succeeds and the other fails.