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MHT CET202121 Sep 2021Evening ShiftMathematicsProbabilityActual

If is observed that 25 % of the cases related to child labour reported to the police station are solved. If 6 new cases are reported, then the probability that at least 5 of them will be solved is

Options

  1. A19 1024
  2. B19 4096
  3. C( 1 4 )^6
  4. D19 2048

Correct answer

B. 19 4096

Step-by-step solution

We have probability of cases getting solved =25 %= 1 4 p = 1 4 q = 3 4 and we have n =6, x =5,6 Hence required probability aligned & = [ ^6 C ₅ ( 1 4 )^5 ( 3 4 )^1 ]+ [ ^6 C ₆ ( 1 4 )^6 ( 3 4 )^0 ] & = (6)(3) (4)^6 + 1 (4)^6 = 19 (4)^6 = 19 4096 aligned

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