Suppose a population has 26 members identified with the letters A through Z. a)

Question

Suppose a population has 26 members identified with the letters A through Z.

a) You select one individual at random from this population. What is the probability of selecting individual A?

b) Assume person A gets selected on an initial draw, you replace person A into the sampling frame, and then take a second random draw. What is the probability of drawing person A on the second draw?

c) Assume person A gets selected on the initial draw and you sample again without replacement. What is the probability of drawing person A on the second draw?c)

Explanation / Answer

There is a 1/26 chance of seleting any of the alphabets from A to Z

a. So, prob of selecting A individual is 1/26

b. The prob of getting A the 2nd time after you have placed A back again in to the sampling frame: 1/26 *1/26 = 1/676

c. We aren't replacing A into the sample here, hence, probability of drawing person A on the 2nd draw is 0 apparently, because he isn't inside the sample any more.

P( getting A when A was selected in the first attempt and not replaced into the sample frame) = 0

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