Question

9. If you randomly select one of the pieces of chocolate from the box, what is the probability that the piece will be filled with fudge?

Answer 1

Probability that the piece will be filled with fudge is 4/15 = 0.2667

Explanation:

In the question, a box of chocolate contains 15 identical looking pieces. These chocolate pieces are filled in the following way: There are

3 caramel

2 cherry cream

2 coconut

4 chocolate whip

4 fudge

So this makes 3+2+2+4+4= 15

As the total number of chocolate pieces are 15

Let E be the event that the chocolate piece is filled with fudge

As we know Probability of an event is

P(E) = number of favorable outcomes / number of possible outcomes

Here the favorable is the number of pieces filled with fudge and number of possible outcomes are 15 as there are 15 types of chocolate pieces. So the probability that the piece selected will be filled with fudge is:

P(E) = 4/15 = 0.2667