Question

A box contains the eleven letters, MISSISSIPPI. Four letters are drawn one by one with replacement and recorded in order. What is the probability that the outcome is pipi?

Answer #1

It is given that a box contains the eleven letters, MISSISSIPPI. It is given that four letters are drawn one by one with replacement and recorded in order. We have to find the probability that the outcome is PIPI.

We know, Probability of any event = (Number of favorable outcomes)/(Total number of possible outcomes)

There are 11 letters and 2 P's. Thus, the probability of the first P in PIPI = 2/11

There are 11 letters and 4 I's. Thus, the probability of the first I in PIPI = 4/11

There are 11 letters and 2 P's. Thus, the probability of the second P in PIPI = 2/11

There are 11 letters and 4 I's. Thus, the probability of the second I in PIPI = 4/11

Thus, the probability of the outcome PIPI = (2/11)*(4/11)*(2/11)*(4/11) = (2*4*2*4)/(11*11*11*11) = 64/14641 = 0.0044(rounded up to four decimal places).

**Thus, the probability that the outcome is PIPI = 0.0044
.**

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drawn one by one
(a) with replacement?
(b) without replacement?
The probability of the outcome RAT in that order if 3 letters
are drawn with replacement is ?

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a) What is the probability that both are the same color?
b) What is the probability that they are different colors?
c) What is the probability that neither is red?

3. Four hundred tickets are drawn at random with replacement
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a) What is the expected value of the sum of the draws?
b) What is the standard error for the sum of the draws?
c) What is the probability that the average of
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A) Suppose that four cards are drawn with replacement. Find the
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Find the expected number of black ball among the
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