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AP EAMCET20225 Jul 2022Evening ShiftMathematicsProbabilityActual

Two dice are thrown simultaneously. The probability of getting two numbers whose product is even is

Options

  1. A1 / 2
  2. B3 / 4
  3. C3 / 8
  4. D5 / 16

Correct answer

B. 3 / 4

Step-by-step solution

Product of 2 numbers is even if either both are even or 1 is even and 1 odd. Number of ordered pair: for 1 even and 1 odd =( Selecting 1 odd out of 3 and selecting 1 even out of 3 ) 2( a , b ) and ( b , a ) are difference hence multiplied by 2 =2 ^3 C ₁ ^3 C ₁=18 and both even: (2,2)(2,4),(2,6)(4,2),(4,4),(4,6) , (6,2),(6,4),(6,6) Total number of favourable outcome =18+9=27 Total outcomes =36 Probability =27 / 36=3 / 4

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