Question

Suppose an experiment has 3 stages: A, B, and C. If stage A has 6 outcomes, stage B has 4 outcomes, and stage C has 3 outcomes. how many outcomes does the entire experiment have?

Answer 1

To find the total number of outcomes for an experiment with 3 stages having 6, 4, and 3 outcomes respectively, you multiply the outcomes of each stage together, resulting in 6 × 4 × 3 = 72 possible outcomes.

Step-by-step explanation:

To determine how many outcomes the entire experiment has when an experiment has stages A, B, and C with different numbers of outcomes, you multiply the number of outcomes for each stage. Stage A has 6 outcomes, stage B has 4 outcomes, and stage C has 3 outcomes. Therefore, the total number of outcomes for the entire experiment is calculated as follows:

Stage A outcomes: 6

Stage B outcomes: 4

Stage C outcomes: 3

Multiply the outcomes of each stage:

Total outcomes = 6 (Stage A) × 4 (Stage B) × 3 (Stage C) = 72 possible outcomes.

This is similar to how the sample space is determined in other contexts, such as flipping a coin and rolling a die, where you would also multiply the number of outcomes to get the size of the sample space.

Answer 2

Answer: 72

Step-by-step explanation:

Given : An experiment has 3 stages: A, B, and C.

If stage A has 6 outcomes, stage B has 4 outcomes, and stage C has 3 outcomes.

Then, by using the fundamental principle of counting (Total outcomes= product of all outcomes of each stage ) , we have

The number of outcomes the entire experiment have:-

`6*4*3=72`

Hence, the number of outcomes the entire experiment =72