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

Answer 1

Probability Jonas gets an orange.
5/13
Probability Beth gets an apple (assuming the previous)
5/12
Probability of both:
25/156

Answer 2

Use formula for theoretical probability:

`Pr=\frac{\text{the number of favorable outcomes}}{\text{the number of possible outcomes}}.`

1. The probability that Jonas will get an orange is

`Pr(\text{Jonas gets orange})=(5)/(13).`

2. Ben is taking a piece second and he has 12 piecies left, among them 5 apples, 4 oranges and 3 bananas. The probability that Ben will get an apple is

`Pr(\text{Ben gets apple})=(5)/(12).`

3. Use the product rule to determine

`Pr(\text{Jonas gets orange and Ben gets apple})=(5)/(13)\cdot (5)/(12)=(25)/(156).`

Answer: correct choice is A.