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MHT CET202310 May 2023Evening ShiftMathematicsProbabilityActual

The three ships namely A, B and C sail from India to Africa. If the odds in favour of the ships reaching safely are 2: 5,3: 7 and 6: 11 respectively, then probability of all of them arriving safely is

Options

  1. A18 595
  2. B11 34
  3. C196 217
  4. D1 595

Correct answer

A. 18 595

Step-by-step solution

The probability that ship ' A ' reaches safely is P ( A )= 2 2+5 = 2 7 The probability that ship ' B ' reaches safely is P ( B )= 3 3+7 = 3 10 The probability that ship ' C ' reaches safely is P ( C )= 6 6+11 = 6 17 Probability that all of them arriving safely = P ( A B C )= P ( A ) P ( B ) P ( C ) [Since A, B, C are all independent events] aligned & = 2 7 3 10 6 17 & = 18 595 aligned

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