Question

Consider a collection of envelopes consisting of

2 red envelope 3 blue envelopes

1 green envelope, and 1 yellow envelope.

If two envelopes are selected at random, with replacement, determine the probability that at least one envelope is a yellow envelope.

Answer #1

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Suppose that 8 cards, of which four are red, two are green and
two are blue, are placed at random in 8 envelopes. Two envelops are
selected at random,
find the probability that the envelops have red cards?
find the probability that they have cards of the same
colors?

A glass jar contains 1 red, 3 green, 2 blue, and 4 yellow
marbles. Two people are drawing from one jar one after the other.
Determine the probability of the following events occurring.
A) the first person draws and keeps a yellow marble and then the
second person draws a green marble
B) the first person draws and keeps a blue marble and then the
second person draws a red marble
C) the first person draws and keeps the green...

(a) A box contains 4 marbles, 2 Red, 1 Green, 1
Blue. Consider an experiment that consists of taking 1 marble from
the box, then replacing it in the box and drawing a second marble
from the box. Describe the sample space. repeat when the second
marble is drawn without first replacing the first marble.
(b) What is the probability that the first
marble was Green and the second was Blue with replacement?
(c) What is the probability that the...

Select 5 marbles at random from a jar with 8-red,
3-blue,2-purple, 3-black and 4- green.
What is probability that all are blue marbles?
What is probability of selecting 2-blue and 3-red marble?
What is probability of selecting one of each color?
What is probability of selecting at least 2 green marbles?

Moments and Function Generator of Moments
An urn contains 4 red balls, 3 blue, 2 green and one yellow.
Three balls are obtained from this sample (without replacement).
Let X be the random variable that represents the number of red
balls that are extracted.
a) Find the probability function of the random variable X
b) Find the first moment of the random variable
c) Find the second moment of the random variable
d) Find the third moment of the random...

Consider a collection of 9 bears. There is a family of red bears
consisting of one father bear, one mother bear, and one baby bear.
There is a similar green bear family, and a similar blue bear
family. We draw 5 consecutive times from this collection
without replacement (i.e., not returning the bear after
each draw). We keep track (in order) of the kind of bears that we
get. Let X denote the number of red bears selected. For
i=1,2,3,4,5,...

There are 15 marbles in a bag. 3 are red, 5 are blue, 2 are
green, 1 is yellow, and 4 are purple.
a. If a single marble is drawn, the odds for drawing a blue
marble are: 1:21:32:13:14:114:1511:415:4
b. If a single marble is drawn, the odds against drawing a red
or yellow marble are: 1:21:32:13:14:114:1511:415:4
4 points
QUESTION 15
The odds against Alex's team losing their next basketball game
are 12:4. Determine the probability that Alex's team wins their...

12) A box contains 8 green marbles, 6 blue marbles, and 3 red
marbles. Three marbles are selected at random from the box, one at
a time, without replacement. Find the probability that all three
marbles selected are green. Round your answer to four decimal
places.

Consider 5 fish in a bowl: 3 of them are red, and 1 is green,
and 1 is blue. Select the fish one at a time, without replacement,
until the bowl is empty.
Let X=1 if all of the red fish are selected, before the green
fish is selected; and X=0 otherwise.
Let Y=1 if all of the red fish are selected, before the blue
fish is selected; and Y=0 otherwise.
a. Find the joint probability mass function of
X...

Box 1 contains 4 red balls, 5 green balls and 1 yellow ball.
Box 2 contains 3 red balls, 5 green balls and 2 yellow
balls.
Box 3 contains 2 red balls, 5 green balls and 3 yellow
balls.
Box 4 contains 1 red ball, 5 green balls and 4 yellow balls.
Which of the following variables have a binomial
distribution?
(I) Randomly select three balls from Box 1 with replacement. X =
number of red balls selected
(II) Randomly...

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