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AP EAMCET201920 Apr 2019Morning ShiftMathematicsProbabilityActual

If two sections of strengths 30 and 45 are formed from 75 students who are admitted in a school, then the probability that two particular students are always together in the same section is

Options

  1. A( 66 185 )
  2. B( 19 37 )
  3. C( 29 185 )
  4. D( 18 37 )

Correct answer

B. ( 19 37 )

Step-by-step solution

According to given informations, the required probability ( aligned & = 73 28 + 73 43 75 30 & = 73 ! 28 ! 45 ! + 73 ! 43 ! 30 ! 75 ! 30 ! 45 ! & = 1 45 44 + 1 30 29 75 74 (30 29)(45 44) & = (30 29)+(44 45) (75 74) aligned ) ( aligned & = (2 29)+(44 3) (5 74) = 29+(22 3) 5 37 & = 29+66 5 37 = 95 5 37 = 19 37 aligned ) Hence, option (2) is correct.

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