Question

An experiment requires a sequence of three steps. The first step can result in six possible outcomes, the second in three possible outcomes, and the third in four possible outcomes. What is the total number of outcomes possible?

Answer 1

72

Explanation:

The total no of outcomes of an experiment is given by :

N = n₁× n₂ ×n₃ ×....

Where,

n₁,n₂,n₃... are possible outcomes in step 1,2,3 and so on

In this problem, there are 3 steps.

n₁ = 6, n₂ = 3, n₃ = 4

Total number of possible outcomes = 6(3)(4) = 72

Hence, there are 72 possible outcomes.