The probability that Moses will be alive in three years time is 4/5. What is the probability that he will not be alive

Answer 1

The probability that Moses will not be alive in three years time can be found by subtracting the probability that he will be alive from 1.

Given:
- The probability that Moses will be alive in three years time is \(\frac{4}{5}\).

The formula for the probability that an event does not occur is:
\[ P(\text{not alive}) = 1 - P(\text{alive}) \]

So, we subtract the probability of being alive from 1:
\[ P(\text{not alive}) = 1 - \frac{4}{5} \]

Converting \(1\) to a fraction with the same denominator:
\[ 1 = \frac{5}{5} \]

Now, perform the subtraction:
\[ P(\text{not alive}) = \frac{5}{5} - \frac{4}{5} = \frac{5 - 4}{5} = \frac{1}{5} \]

Therefore, the probability that Moses will not be alive in three years time is \(\frac{1}{5}\).