Mathematics Part-II

Book: Mathematics Part-II

Chapter: 13. Probability

Subject: Maths - Class 12th

Q. No. 9 of Miscellaneous Exercise

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An experiment succeeds twice as often as it fails. Find the probability that in the next six trials, there will be at least 4 successes.

It is given in the question that,

Probability of failure = x

And, probability of success = 2x

x + 2x = 1

3x = 1

Let us now assume

Also, X be the random variable that represents the number of trials

Hence, by binomial distribution we have:

Probability of having at least 4 successes

= P (X = 4) + P (X = 5) + P (X = 6)


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