Maths · Probability: Probability of an event, addition and multiplication theorems of probability

A fair die is tossed 1620 times. If getting a face with 6 points is considered a

A fair die is tossed 1620 times. If getting a face with 6 points is considered as a success, then \( E(x)= \) \( \ldots \ldots ., V(x)=\dots \ldots . . \)

  • A. 270,270
  • B. 270,225
  • C. 270,25
  • D. 27,250

Step-by-step solution

The experiment is binomial with n = 1620 and p = 1/6. Expected value E(x) = np = 1620*(1/6) = 270. Variance V(x) = npq = 1620*(1/6)*(5/6) = 225.
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