Question

A basket contains 13 pieces of fruit: 5 apples, 5 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

Jonas: 1 of 5 oranges out of 13 pieces of fruit.
p(Jonas picks an orange) = 5/13

Beth: 1 of 5 apples out of 12 pieces of fruit
p(Beth picks an apple) = 5/12

p(Jonas picks an orange and Beth picks an apple) =

= p(Jonas picks an orange) * p(Beth picks an apple)

= 5/13 * 5/12

= 25/156

Answer:
The probability that Jonas will get an orange and Beth will get an apple
is 25/156