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