# math help pls! (prob. distribution) ?

The probability that exactly two students will be selected when five people are selected from five students and four teachers

is...?

Explain.

Relevance
• 1 month ago

Let's count the ways to get exactly 2 students (and 3 teachers).

From the 5 students, pick 2:

C(5,2) = (5 * 4) / (2 * 1) = 10 ways

From the 4 teachers, pick 3:

C(4,3) = (4 * 3 * 2) / (3 * 2 * 1) = 4 ways

Multiply to get the total ways of picking exactly 2 students:

10 * 4 = 40

So there are 40 ways to get the desired outcome of exactly 2 students.

Now just take all 9 people and pick any 5 of them.

C(9,5) = (9 * 8 * 7 * 6 * 5) / (5 * 4 * 3 * 2 * 1)

= 126 ways

Divide to get the probability:

40/126

= 20/63

• 1 month ago

p = (4C3 *5C2) / (9C5)

p = (40)/(126)

p = 20 / 63

I'm just lazy when I say this, but you should keep on trying questions until you see the pattern. Having everything taught to you makes you develop a systemic approach to math instead of inquiry-based