Question

The tree diagrams below show the sample space of choosing a cushion cover or a bedspread in silk or in cotton in red, orange, or green. Write the number of possible outcomes.

6
4
10
12

Answer 1

12 is correct.

Explanation:

Answer 2

Option D (12).

Explanation:

The law of outcomes states that if there are m ways to do Event 1 and n ways to do Event 2, then if both Event 1 and Event 2 are combined, then the possible outcomes will be m*n. Similarly, in this case, there are 2 types of products, 2 types of materials, and 3 types of colours. So according to the law of outcomes, simply multiply the numbers to gain the total possible outcomes:

Possible outcomes = 2 * 2 * 3 = 4 * 3 = 12.

So Option D is the correct answer!!!