Further Mathematics Paper 2, WASSCE (SC), 2022

Question 12

 

A basket contains 12 fruits: orange, apple and avocado pear, all of the same size. The number of oranges, apples and avocado pear forms three consecutive integers. Two fruits are drawn one after the other without replacement. Calculate the probability that:

  1. the first is an orange and the second is an avocado pear;
  2. both are of the same fruit;
  3. at least one is an apple.

Observation