bunny2365423 bunny2365423
  • 12-06-2017
  • Mathematics
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A die is rolled 20 times. Find the probability of getting exactly four 2's out of 20 attempts

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BlueSky06
BlueSky06 BlueSky06
  • 24-06-2017
If a die is a plain die with uniform sides, the number of possible outcomes in the sample space is equal to 6 multiplied to itself for 20 times, 6²⁰. If exactly four 2's should be in the outcome of the experiment, the sample space will become,
                                (1⁴)(5²⁰⁻⁴) = 5¹⁶
Thus, the probability is equal to 5¹⁶/6²⁰.
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