Question

A basket contains 11 pieces of fruit: 4 apples, 4 oranges, and 3 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

$|\Omega|=11\cdot10=110\\ |A|=4\cdot4=16\\\\ P(A)=\dfrac{16}{110}=\dfrac{8}{55}$