Question

There are 5 seniors and 3 juniors on the debate team. What is the probability that a 3 person team chosen to go to a championship will consist of all seniors?

A. 1/4,032
B. 5/28
C. 3/8

Answer 1

there's 8 people in the group 3 of them are jinors....this is a simple fraction

Answer 2

Thank you!

Answer 3

no problem

Answer 4

wait do you know what the answer is.......... i basically told you the fraction

Answer 5

yes 3/8?

Answer 6

No.
there are \(5+3=\Large 8\) people in total

That means that the denominator is going to be 8

There are 5 seniors

Having that info we can write that the chance for the 1st person who is about to get picked, to be a senior \( P(1)=\frac{5}{8}\)

The chance for the 2nd person to be a senior is \( P(2)=\frac{5-1}{8-1}\)

The odds for the 3rd person to be a senior are \( P(3)=\frac{5-1-1}{8–1-1}\)

the probability for all 3 of them can be found by using:
\[ P_T=P(1) \cdot P(2) \cdot P(3) \]

Answer 7

So we have:

\( P(1)=\frac{5}{8}\)

\( P(2)=\frac{4}{7}\)

\( P(3)= \frac{3}{6} \)

\[ P_T=P(1) \cdot P(2) \cdot P(3) \Rightarrow \frac{5}{8} \cdot \frac{ 4}{7} \cdot \frac{3}{6} \]

Find the LMP of the 3 denominators

Answer 8

Id suggest to just look at the options we’re given.

Its not a) because the denominator is an astronomical number

b) 8, 7, and 6 do indeed work with 28

c) yeah nah as you can see its a nono.

That said, which option is right?