JEE Main 2022 Mathematics question

MathematicsProbabilityJEE Main 2022

Let , , be three mutually exclusive events such that + 3p)/6, − p)/8 and − p)/2. If the maximum and minimum values of p are and , then is equal to :

Answer: (2)

Solution

Each probability lies in [0, 1]: (2 + 3p)/6 [0, 1] gives p [−2/3, 4/3]; (2 − p)/8 [0, 1] gives p [−6, 2]; (1 − p)/2 [0, 1] gives p [−1, 1]. For

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Question ID VK-025180