Question

Find \( P(A \,|\, E_1) + P(A \,|\, E_2) \):

Hint:

To find the combined probability of an event across different scenarios, add the conditional probabilities for each scenario. Always ensure the results are consistent with the problem's context.

Answer 1

From the given information: \[ P(A \,|\, E_1) = 0.95 \quad \text{(95\% survival rate in the event of a crash)}, \] \[ P(A \,|\, E_2) = 1 \quad \text{(100\% survival rate if there is no crash)}. \] The total is: \[ P(A \,|\, E_1) + P(A \,|\, E_2) = 0.95 + 1 = 1.95. \] final answer \[ \boxed{P(A \,|\, E_1) + P(A \,|\, E_2) = 1.95.} \]