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 by guessing?

Explanation

To solve the problem of finding the probability that a candidate would get four or more correct answers just by guessing on a multiple choice examination with three possible answers (only one of which is correct) for each of the five questions, we can use the binomial distribution.

### Step-by-Step Solution:

1. **Identify the Parameters**:
- Let \( X \) be the number of correct answers.
- The total number of questions \( n = 5 \).
- The probability of getting a correct answer \( p = \frac{1}{3} \) (since there is one correct answer out of three options).
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