2. a) It will be easiest to first find the
probability of all three of you ordering chicken dishes. Then recall that P(Ac)
= 1 - P(A).
Let your sample space, S, be all the ways of choosing three dishes from the take away, and
let E be the event that you all choose chicken dishes. Find n(S) and n(E) and use these to
calculate the required probability.
b) Let your sample space be the same as in part a), and let E be the event that none of you choose vegetarian dishes. Ignoring the vegetarian dishes, you each have 22 dishes to choose from.