Homework Answers
Ans:
a)P(all different)=4C1*3C1*3C1/10C3
=36/(10*9*8)/(3*2*1)
=216/720=0.3
b)P(all same)=P(all red)+P(all green)+P(all yellow)
=(4C3/10C3)+(3C3/10C3)+(3C3/10C3)
=(4C3+3C3+3C3)/10C3
=(4+1+1)/120=6/120=0.05
c)P(two are red)=4C2*6C1/10C3
=6*6/120=36/120=0.3
d)P(two are red and one is green)=4C2*3C1/10C3
=6*3/120=18/120=0.15
Add Answer to:
10. There are 10 balls in an urn: 4 red, 3 green, 3 yellow. One randomly...
An urn contains 5 red balls, 4 green balls, and 2 yellow balls. Draw 3 balls...
An urn contains 5 red balls, 4 green balls, and 2 yellow balls. Draw 3 balls with replacement (draw a ball, record the color, and put ball back before drwing again). What is the probability that your draw (a) consists of all red balls? (b) consists of all the same color? (c) consists of all different colors? (d) consists of at least one green ball? (e) consists of exactly two green balls and one red ball?
An urn contains 10 red balls. 7 green balls and 4 yellow balls. At random, 5...
An urn contains 10 red balls. 7 green balls and 4 yellow balls. At random, 5 balls are drawn (without replacement). What is the probability 3 of them are red?
Urn A contains 7 yellow balls and 3 red balls. Urn B contains 10 yellow balls...
Urn A contains 7 yellow balls and 3 red balls. Urn B contains 10 yellow balls and 7 red balls. Urn C contains 12 yellow balls and 4 red balls. An urn is picked randomly (assume that each urn is equally likely to be chosen), and then a ball is picked from the selected urn. What is the probability that the chosen ball came from urn B, given that it was a yellow ball?
3 red balls, 4 green balls, and 5 yellow balls are in a bag
3 red balls, 4 green balls, and 5 yellow balls are in a bag. If 2 balls are drawn randomly (without replacement) find the probability that the balls are different colors.I got 47/66 that the balls are different colors...is that right?
An urn contains four red balls, two green balls, and three yellow balls. Three balls will...
An urn contains four red balls, two green balls, and three yellow balls. Three balls will be drawn from the urn, one at a time, at random. If the balls are drawn without replacement, what is the probability that the first is red, the second is green, and the third is yellow? If the balls are drawn with replacement, what is the probability the first is red, the second is green, and the third is yellow?
An urn contains 6 red, 9 green, and 11 blue balls. The following is repeated 3...
An urn contains 6 red, 9 green, and 11 blue balls. The following is repeated 3 times: a ball is selected from the urn at random and removed (called “sampling without replacement”). Give your answers to 3 significant digits. (a) What is the probability that all 3 selected balls are the same color? (b) What is the probability that all 3 selected balls are different colors? (c) Repeat part (a) assuming “sampling with replacement”. That is, the following is repeated...
(Um Poker) An urn contains 11 red balls numbered 1 through 11, 11 yellow balls numbered...
(Um Poker) An urn contains 11 red balls numbered 1 through 11, 11 yellow balls numbered 1 through 11, 11 green balls numbered 1 through 11, and 11 black balls numbered 1 through 11. If 4 balls are randomly selected find the probability of getting (a) a flush (ie., all balls the same color) (b) three of a kind. (Three of a kind is 3 balls of one denomination and a fourth ball of a different denomination. e.g., 5,5,5,2) (c)...
A box contains one yellow, two red, and three green balls. Two balls are randomly chosen...
A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the following events A: One of the balls is yellow B: At least one ball is red h C: Both balls are green D:Both balls are of the same color ) Find the following conditional probabilities: (a) P(BA)- b) P(DB)- (c) P(DIC)-
lomework Assignments (1 point) A box contains one yellow, two red, and three green balls. Two balls are randomly chosen...
lomework Assignments (1 point) A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the following events: A: One of the balls is yellow B: At least one ball is red) C: i Both balls are green h D: I Both balls are of the same color Find the following conditional probabilities: a) P(BIA) b) P(BD)- Note: You can earn partial credit on this problem.
lomework Assignments (1 point) A box...
1. An urn initially contains 6 red and 8 green balls. Each time a ball is...
1. An urn initially contains 6 red and 8 green balls. Each time
a ball is selected, its color is recorded, and it is replaced in
the urn along with 2 other balls of the same color. Compute the
probability that:
(a) The first 2 balls selected are green and the next 2 are
red?
(b) Of the first 4 balls selected, exactly 2 are green?
(c) If the second ball selected is green, what is the
probability that the...
(Um Poker) An urn contains 11 red balls numbered 1 through 11, 11 yellow balls numbered 1 through 11, 11 green balls numbered 1 through 11, and 11 black balls numbered 1 through 11. If 4 balls are randomly selected find the probability of getting (a) a flush (ie., all balls the same color) (b) three of a kind. (Three of a kind is 3 balls of one denomination and a fourth ball of a different denomination. e.g., 5,5,5,2) (c)...
A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the following events A: One of the balls is yellow B: At least one ball is red h C: Both balls are green D:Both balls are of the same color ) Find the following conditional probabilities: (a) P(BA)- b) P(DB)- (c) P(DIC)-
lomework Assignments (1 point) A box contains one yellow, two red, and three green balls. Two balls are randomly chosen without replacement. Define the following events: A: One of the balls is yellow B: At least one ball is red) C: i Both balls are green h D: I Both balls are of the same color Find the following conditional probabilities: a) P(BIA) b) P(BD)- Note: You can earn partial credit on this problem.
lomework Assignments (1 point) A box...
1. An urn initially contains 6 red and 8 green balls. Each time
a ball is selected, its color is recorded, and it is replaced in
the urn along with 2 other balls of the same color. Compute the
probability that:
(a) The first 2 balls selected are green and the next 2 are
red?
(b) Of the first 4 balls selected, exactly 2 are green?
(c) If the second ball selected is green, what is the
probability that the...
Most questions answered within 3 hours.
-
Identify and describe in detail the four categories of
institutions that could be included in a...
asked 3 minutes ago -
In python
class Customer:
def __init__(self, customer_id, last_name, first_name, phone_number, address):
self._customer_id = int(customer_id)
self._last_name =...
asked 11 minutes ago -
What is an example of a limitation in implementing a new
ERP system and how it...
asked 6 minutes ago -
In a section of 9.7cm of an artery with a radius of 2.6mm there
is a...
asked 7 minutes ago -
the two carboxylic acid groups of aspartic acid have different
acidities with pKa values of 2.1...
asked 11 minutes ago -
Would CuCO3 aqueous salt combined with calcium chloride
form a solid precipitate? If so, what would...
asked 10 minutes ago -
How do ECM Solutions assist in embedding a culture of continuous
improvement in an organization? (Project...
asked 30 minutes ago -
Directions
These directions introduce the idea of Essential Questions.
Since this may be a new concept...
asked 32 minutes ago -
1.b. Fiscal policy is said to suffer from ‘crowding out’.
Explain what this means and why...
asked 50 minutes ago -
The equation for the reaction of nitrogen and oxygen to form
nitrogen oxide is written as...
asked 54 minutes ago -
A scientist reproducing some photoelectric effect experiments
shines a light on a metal electrode, but doesn't...
asked 57 minutes ago -
In a study designed to test the effectiveness of magnets for
treating back pain, 35 patients...
asked 1 hour ago