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?

A. 25/156
B. 10/13
C. 25/169
D. 5/6

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?
 	
	A. 25/156
        B. 10/13
        C. 25/169
        D. 5/6

kropot72 · Answer

The probability that Jonas will get an orange is 5/13. If Jonas gets an orange there are now 12 pieces of fruit remaining. Therefore the probability that Beth will get an apple is 5/12. Now you need to multiply these two values of probability to find the required probability.