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?
Accepted Solution
A:
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