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

The probability is 1/43680

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=(1)/(16)\cdot(1)/(15)\cdot(1)/(14)\cdot(1)/(13) \\ p=(1)/(43680) \end{gathered}`