Question

An urn contains 6 red and 4 white marbles. A child selects two marbles at random and without replacement from the urn. Find the probability that the colors of the selected marbles are different.

Probability =

Answer #1

Solution:

1.) An urn contains 10 red marbles, 5 white marbles, and 8 blue
marbles marbles. A child randomly selects three (without
replacement) from the urn. Round to four decimal
places.
Find the probability all three marbles are the same
color.
Find the probability that none of the three marbles are
white.
2.)Calculate the standard deviation and variance of the sample
quantitative data shown, to two decimal places.
x
2.6
6
16.7
20.3
9.1
Standard deviation:
Variance:

A box contains one red, two white and two orange marbles. Two
marbles are drawn at random without replacement.
a) What is the probability that both are the same color?
b) What is the probability that they are different colors?
c) What is the probability that neither is red?

An urn contains 5 red, 7 blue and 6 green marbles. If a set of 4
marbles is randomly selected, what is the probability that each of
the marbles will be
(a) of the same color?
(b) of different colors?

urn
A contains 5 red marbles and 1 yellow marble. Urn b contains of 3
red marbles and 7 yellow marbles. A marble is selected at random
from urn A and put aside. If the marble is res, the. two marbles
are selecred at random from Urn B (no replacements). If the marble
is yellow, then three marbles are selected at random from Urn b (no
replacement)
(a) what is the probability if selecting exaclty one yellow
marble from urn...

a urn contains 7 red marbles and 3 white marbles. three marbles
are drawn from the urn one after the other. Find the probability
that the first two are red and the third is white

An urn has 6 red and 4 white balls. Two balls are chosen at
random and without replacement.
Let Y be the number of red balls among those selected.
a. Find the probability function (pmf) of Y.
b. Find the moment-generating function of Y.

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 jar contains 4 red marbles, 3 white marbles, and 4 blue
marbles. Two marbles are randomly selected from the jar with
replacement. Find the following probabilities. Leave your answer as
a reduced fraction.
A red marble and then a blue marble is randomly selected.
A white marble and then a red marble is randomly selected.

Urn 1 contains 8 red and 6 Blue marbles and Urn 2 contains 5 red
marbles and 4 blue marbles. A marble is randomly selected from Urn
1 and Placed in Urn 2. A marble is then drawn from Urn 2
a. What is the probability that the marble drawn from Urn 2 is
red?
b. What is the conditional probability that the ball drawn from
Urn 1 is red, given that a blue marble is drawn from Urn 2?

An urn contains 5 white and 10 black marbles. A fair die is
rolled and that number of marbles is randomly selected (without
replacement) from the urn. What is the conditional probability that
the die landed on 4 if all the marbles are white?

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