Question
The likelihood that Maya secures a place in college D is
90% and in college E is 85%. Maya's order of preference is 'D', then 'E', and finally 'F'. Assuming Maya secures admission to college 'F', what is the probability she will go to college 'F'?Solution
ATQ, Maya will go to college 'F' only if she does not get into college 'D' or 'E'. So, probability that she doesn't get into college 'D' = (1 - 0.9) = 0.1 And probability that she doesn't get into college 'E' = (1 - 0.85) = 0.15 So, required probability = 0.1 × 0.15 = 0.015
Simplify:
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