Question

Find the probability that the airplane will not crash.

Hint:

For complementary events, their probabilities always add up to 1. If \( P(E_1) \) is the probability of an event, the probability of its complement is \( P(E_2) = 1 - P(E_1) \).

Answer 1

(i) Probability that the airplane will not crash:
The given probability of the airplane crashing is: \[ P(E_1) = 0.00001\% = \frac{0.00001}{100} = 10^{-7}. \] The probability that the airplane does not crash is the complement of \( P(E_1) \), calculated as: \[ P(E_2) = 1 - P(E_1) = 1 - 10^{-7}. \] Solution:
\[ \boxed{P(E_2) = 1 - 10^{-7}.} \]