A police man fires four bullets on a dacoit. The probability that the dacoit will be killed by one bullet is 0.6. What is the probability that the dacoit is still alive?

Explanation

To solve the problem, we need to find the probability that the dacoit is still alive after the policeman fires four bullets.

1. **Understanding the Events**:
- Let \( E_1 \) be the event that the dacoit is killed by a bullet.
- The probability that the dacoit is killed by one bullet is given as \( P(E_1) = 0.6 \).
- Therefore, the probability that the dacoit is not killed by one bullet (denote this event as \( E_2 \)) is:
\[
P(E_2) = 1 - P(E_1) = 1 - 0.6 = 0.4
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