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AP EAMCET202316 May 2023Evening ShiftMathematicsProbabilityActual

Two die are rolled. If A denote the event that the same number shows on each die and B denote the event that the sum of the numbers on both dice is greater than 7, then P ( A B ) and P ( B A ) respectively are

Options

  1. A2 5 , 1 4
  2. B1 5 , 1 2
  3. C1 5 , 1 4
  4. D1 2 , 3 5

Correct answer

B. 1 5 , 1 2

Step-by-step solution

Since A= (1,1),(2,2),(3,3),(4,4),(5,5) , (6,6) aligned & and B= array l (2,6),(3,5),(3,6),(4,4),(4,5), (4,6),(5,3),(5,4),(5,5),(5,6) (6,2),(6,3),(6,4),(6,5),(6,6) array & A B= (4,4),(5,5),(6,6) & Now, P(A)= 6 36 = 1 6 , P(B)= 15 36 = 5 12 & P(A B)= 3 36 = 1 12 aligned aligned & P(A / B)= P(A B) P(B) = 1 12 5 12 = 1 5 & P(B / A)= P(A B) P(A) = 1 12 1 6 = 1 2 aligned

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