Q80 / 160 · AP EAMCET 2019 (21 Apr Shift 2) · Mathematics

A die is thrown twice. If getting a number greater than four on the die is considered a success, then the variance of the probability distribution of the number of successes is

  • A
    23
  • B
    13
  • Correct answer
    C
    49
  • D
    89

Solution

The numbers that are greater than 4 on the die is 5, 6.

The probability of successes is,

p=26=13

Now, the variance of probability distribution,

σ2=npq

=2×13×23

=49

Hence, the correct answer is option: 'C'.

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