Question

A basket contains 11 pieces of fruit: 4 apples, 5 oranges, and 2 bananas. Jonas takes a piece of fruit at random from the basket, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple?

Answer 1

\[P(Jonas\ picks\ orange)=\frac{5}{11}\]
If Jonas picks an orange there are then 10 pieces of fruit remaining. So the probability that Beth then picks an apple is given by
\[P(Beth\ picks\ apple)=\frac{4}{10}\]
The required probability is found by multiplying the above two values of probability.