Question

A box contains 3 red and 7 green marbles. If 9 marbles are drawn without replacement, what is the expected number of red marbles?

HINT: Let X be the number of red marbles drawn. First find the Range and p.m.f. of X and use Wolfram-Alpha to simplify the fractions.

Answer #1

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A box contains 3 red and 6 green marbles. If 8 marbles are drawn
without replacement, what is the expected number of red
marbles?
HINT: Let X be the number of red marbles drawn. First find the
Range and p.m.f. of X and use Wolfram-Alpha to simplify the
fractions.

Two marbles are drawn without replacement from a box with 3
white, 2 green, 2 red, and 1 blue marble. Find the probability that
both marbles are white.

From a box containing 5 red and 9 green marbles, 2 marbles are
drawn in succession without replacement (#’s 7 & 8) (7)
Determine the probability of drawing two marbles of the same
color
Determine the probability of drawing a red and green marble

An urn contains ten marbles, of which 4 are green, 3 are blue,
and 3 are red. Three marbles are to be drawn from the urn, one at a
time without replacement.
(a) Let ?? be the event that the ?th marble drawn is green. Find
?(?1 ∩ ?2 ∩ ?3), which is the probability that all three marbles
drawn are green. Hint: Use the Multiplicative Law of
Probability
(b) Now let ?? be the random variable defined to be...

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.

ssume that two marbles are drawn without replacement from a
box with 1 blue, 2 white, 4 green, and 2 red marbles. Find the
probability that the second marble is white, given that the first
marble is blue.
A. 1/9
B. 1/4
C. 1/8
D. 2/9

Suppose that a drawer contains 8 marbles: 2 are red, 2 are blue,
2 are green, and 2 are yellow. The marbles are rolling around in a
drawer, so that all possibilities are equally likely when they are
drawn. Alice chooses 2 marbles without replacement, and then Bob
also chooses 2 marbles without replacement. Let Y denote the number
of red marbles that Alice gets, and let X denote the number of red
marbles that Bob gets.
8a. Find E(X...

1. An urn contains two red, one purple, and two green marbles.
Two marbles are randomly drawn in succession without replacement.
Determine the probability that the first marble is green and the
second is red.
2. An urn contains two red, two purple, and two green marbles.
Two marbles are randomly drawn in succession
without replacement. Determine the probability
that both marbles are red.

(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...

please show steps, thank you
One box contains 5 red and 6 blue marbles. A second box contains
10 red and 5 blue marbles. One marble is drawn from the first box
and placed into the second box. After that, 3 marbles are drawn
from the second box without replacement. What is the
expected number of red marbles obtained on the second draw (from
the second box)?

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