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Question
If e1, e2, e3, e4 are the four elementary outcomes in a sample space and P(e1) = 0.1, P(e2) = 0.5, P(e3) = 0.1, then the probability of e4 is ______.
Solution
If e1, e2, e3, e4 are the four elementary outcomes in a sample space and P(e1) = 0.1, P(e2) = 0.5, P(e3) = 0.1, then the probability of e4 is 0.3.
Explanation:
We know that the sum of all probabilities = 1
∴ P(e1) + P(e2) + P(e3) + P(e4) = 1
⇒ 0.1 + 0.5 + 0.1 + P(e4) = 1
⇒ 0.7 + P(e4) = 1
∴ P(e4) = 1 – 0.7 = 0.3
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