Question

it is presentation day in class and your instructor is drawing names from a hat to determine the order of the presentations. If there are 16 students in the class, what is the probability that the first 4 presentations will be by Morgan, Harmony, Kenny and Ben? Express your answer as a fraction.

Answer 1

ANSWER:

The probability is 1/43680

STEP-BY-STEP EXPLANATION:

We have the following:

0. The probability that Morgan is chosen first = 1/16. Now there are 15 students left after this.

,

1. The probability that Harmony is chosen second = 1/15. Now there are 14 students left after this.

,

2. The probability that Kenny is chosen third = 1/14. Now there are 13 students left after this.

,

3. The probability that Ben is chosen fourth = 1/13.

Therefore, the required probability is:

$\begin{gathered} p=\frac{1}{16}\cdot\frac{1}{15}\cdot\frac{1}{14}\cdot\frac{1}{13} \\ p=\frac{1}{43680} \end{gathered}$