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An unbiased die is tossed 500 times.The mean of the no. of ‘Sixes’ in these 500 tosses is
  • a)
    50/6
  • b)
    500/6
  • c)
    5/6
  • d)
    none
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
An unbiased die is tossed 500 times.The mean of the no. of ‘Sixe...
Solution:

Given, an unbiased die is tossed 500 times.

Let X be the number of sixes in 500 tosses.

We know that the probability of getting a six in a single toss of an unbiased die is 1/6.

The random variable X follows a binomial distribution with parameters n = 500 and p = 1/6.

The mean of a binomial distribution is given by np.

Therefore, the mean of X is given by np = 500*(1/6) = 500/6.

Hence, the correct option is (B) 500/6.
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Community Answer
An unbiased die is tossed 500 times.The mean of the no. of ‘Sixe...
Prob. of no of one six of die = 1/6 so tha prob if die tossed 500 times = 500× 1/6 that is 500/6 so option b is correct
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An unbiased die is tossed 500 times.The mean of the no. of ‘Sixes’ in these 500 tosses isa)50/6b)500/6c)5/6d)noneCorrect answer is option 'B'. Can you explain this answer?
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