Question

A class has seven students. what is the probability that exactly four of the students were born on a weekday (monday through friday)?

Answer 1

The probability that exactly four of the students were been born on a weekday (i.e. Monday through Friday) is 0.2125.

What is the probability of determining that exactly four students were born on a weekday?

To determine the probability, we need to first find the probability of having a student being born on a weekday.

$=\mathbf{\dfrac{5}{7}}$

The probability of having 4 students born on a weekday is:

$=\mathbf{(\dfrac{5}{7})^4}$

Since we have 4 students, we also need to find the probability of the students that are not being born, which is:

$=\mathbf{(\dfrac{2}{7})^3}$

Also, there are $(^7_4)$ = 35 ways to get four students out of seven students.

Therefore, we have the probability as:

$\mathbf{P = 35 \times (\dfrac{5}{7})^4 \times (\dfrac{2}{7})^3}$

P = 0.2125  

Therefore, we can conclude that the probability that exactly four of the students were born on a weekday is 0.2125.

Learn more about probability here:

https://brainly.com/question/24756209

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