On a multiple choice examination with three possible answers (out of which only one is correct) for each of the five questions, what is the probability that a candidate would get four or more correct answers just guessing?

Explanation

To solve the problem, we need to determine the probability that a candidate would get four or more correct answers on a multiple-choice examination with three possible answers (only one of which is correct) for each of the five questions, assuming the candidate is guessing.

### Step-by-Step Solution:

1. **Define the Random Variable**:
Let \( X \) be the number of correct answers the candidate gets by guessing.

2. **Identify the Distribution**:
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