SOLUTION: A box contains 5 red balls and 10 blue balls. A) How many samples of 3 balls are possible? B) How many samples will have all red balls? C) What is the probability the sample will h
Algebra.Com
Question 478994: A box contains 5 red balls and 10 blue balls. A) How many samples of 3 balls are possible? B) How many samples will have all red balls? C) What is the probability the sample will have 3 red balls? D)What are the odds in favor of drawing a blue ball?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
A box contains 5 red balls and 10 blue balls.
A) How many samples of 3 balls are possible?;;15C3
--------------------------
B) How many samples will have all red balls?::5C3
----------------------------
C) What is the probability the sample will have 3 red balls?::5C3/15C3
----------------------------
D)What are the odds in favor of drawing a blue ball?
P(draw a blue) = 10/15 = 2/3
P(not draw a blue) = 5/15 = 1/3
----
Odds in favor of drawing a blue = (2/3)/(1/3) = 2:1
---
what is the probability that it will have 2 red balls?
You are drawing 3 from 5 red and 10 blue.
P(exactly 2 red) = ?
# of ways to get 2 red = 5C2 = 10
# of ways to get 1 blue = 10C1 = 10
---
# of ways to get 3 balls randomly: 15C3
--
P(exactly 2 red) = (10*10)/15C3 = 100/455 = 20/91
===============================
Cheers,
Stan H.
RELATED QUESTIONS
An urn contains 10 numbered balls, of which 6 are red and 4 are blue. A sample of 4 balls (answered by ewatrrr)
An urn contains 10 numbered balls, of which 6 are red and 4 are blue. A sample of 4 balls (answered by edjones)
A box contains 11 red balls, 9 green balls, and 9 black balls. A sample of 9 is to be... (answered by stanbon)
A box contains 7 red balls, 5 white balls and 3 green balls. How many three balls can we... (answered by reviewermath,arjay)
A box contains 3 red, 4 blue, and 5 white balls. In how many ways can we select 4 balls... (answered by ikleyn)
A box contains 5 red, 4 blue, and 3 white balls. In how many ways can we select 4 balls... (answered by ikleyn)
Consider an urn containing black and white balls of which 30% are
black. A simple... (answered by Edwin McCravy)
A box contains 4 red balls and 6 blue balls. A second box contains 16
red balls and an... (answered by reviewermath)
A box contains 4 red balls, 6 black balls, 8 blue balls and 12 white balls. What... (answered by macston)