GATE DA 2024 Set 1 — Question 58
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Probability & Statistics → Probability → Bayes' Theorem
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Question
Consider two events and . Let denote the complement of the event . The probability associated with different events are given as follows:
Then, is ______ (rounded off to two decimal places).
Then, is ______ (rounded off to two decimal places).
Correct answer
0.25 to 0.25
Solution
Given:
We need to find . By Bayes' Theorem:First, calculate the total probability
We need to find . By Bayes' Theorem:First, calculate the total probability
P(S):Now, substitute back into the Bayes' formula:The value of is 0.25.Continue learning with Success Tracker
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