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32. Binomial Distribution
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Q9 of 62 Page 1337

A pair of dice is thrown 4 times. If ‘getting a doublet’ is considered a success, find the probability of getting 2 successes.

As the pair of die is thrown 4 times,


The total number of outcomes = 36


Using Bernoulli’s Trial P(Success=x) = nCx.px.q(n-x)


x=0, 1, 2, ………n and q = (1-p)


The probability of success = p =


q =


probability of 2 successes = 4C2.()2()2


⇒


More from this chapter

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7

A die is thrown 4 times. ‘Getting a 1 or a 6’ is considered a success, Find the probability of getting

(i) exactly 3 successes


(ii) at least 2 successes


(iii) at most 2 successes


8

Find the probability of a 4 turning up at least once in two tosses of a fair die.

10

A pair of dice is thrown 7 times. If ‘getting a total of 7’ is considered a success, find the probability of getting

(i) no success


(ii) exactly 6 successes


(iii) at least 6 successes


(iv) at most 6 successes


11

There are 6% defective items in a large bulk of times. Find the probability that a sample of 8 items will include not more than one detective item.

Questions · 62
32. Binomial Distribution
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