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Probability question

2017 · Shift 0 · Q34
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  5. /2017 · Shift 0 · Q34

Probability question

2017 · Shift 0 · Q34

JEE MainMathematicsProbabilityMCQ+4 / −1
For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P (Exactly one of C or A occurs) = 14{1 \over 4}41​ and P(All the three events occur simultaneously) =116{1 \over {16}}161​. Then the probability that at least one of the events occurs, is :
  1. A
    716{7 \over {16}}167​
  2. B
    764{7 \over {64}}647​
  3. C
    316{3 \over {16}}163​
  4. D
    732{7 \over {32}}327​
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