Question

Jeff has a box containing 26 tiles, each with a different letter of the alphabet. he randomly draws 4 letters, one at a time without replacement. what is the probability that he will choose the letters n, w, b, t?

Answer 1

The probability to choose letter n is
`(1)/(26)`. After drawing letter n there left 25 letters and the probability to choose the letter w is
`(1)/(25)`. After drawing two letters n and w there left 24 letters and then the probability to choose letter b is
`(1)/(24)`. After drawing three letters n, w and b there left 23 letters, so the probability to choose letter t is
`(1)/(23)`.
Using the product rule for probabilities, you can obtain that
`P= (1)/(26) * (1)/(25) * (1)/(24)* (1)/(23) =0.0000027`.