Q79 / 160 · TS EAMCET 2019 (03 May Shift 2) · Mathematics

As a business strategy, 20% of the new internet service subscribers selected randomly receive a special promotion. If a group of 5 such subscribers signs for the service, then the probability that at least two of them get the special promotion is

  • A
    8193125
  • Correct answer
    B
    8213125
  • C
    8233125
  • D
    8173125

Solution

Consider Binomial probability distribution.

Probability of success (p)=20100=15

Probability of failure (q)=1-15=45

Now, P(r≥2)=P(r=2)+P(r=3)+P(r=4)+P(r=5)

=5C2152453+5C3153452+5C4154451+5C5155450

=155(640+160+20+1)

=8213125

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

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