Question

three chocolates remain in a box of chocolates. one has cherry filling and the other two have nuts inside. you randomly pick a piece for yourself. then you pick a piece for your friend. find the number of possible outcomes in the sample space. a) 4 b) 10 c) 6 d) 8

Explanation:

Step1: Calculate first - pick possibilities

There are 3 chocolates, so for the first pick (for yourself), there are 3 possible choices.

Step2: Calculate second - pick possibilities

After the first pick, there are 2 chocolates left. So for the second pick (for your friend), there are 2 possible choices.

Step3: Use the multiplication principle

The total number of possible outcomes in the sample space is the product of the number of choices at each step. So the total number of outcomes is \(3\times2=6\).

Answer:

C. 6