Question

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.

Answer #1

1.

Draw 1: Green

Red: 2

Purple = 1

Green= 2

Total marbles = 5

P(Draw 1: Green) = 2/5 = 0.4

Draw 2: Red

Red: 2

Purple = 1

Green= 1

Total marbles = 4

P(Draw 2: Red) = 2/4 = 0.5

So,

the probability that the first marble is green and the second is red. = 0.4 X 0.5 =0.2

So,

Answer is:

**0.2**

2.

Draw 1: Red

Red: 2

Purple = 1

Green= 2

Total marbles = 5

P(Draw 1: Red) = 2/5 = 0.4

Draw 2: Red

Red: 1

Purple = 1

Green= 2

Total marbles = 4

P(Draw 2: Red) = 1/4 = 0.25

So,

the probability that both marbles are red. = 0.4 X 0.25 = 0.1

So,

Answer is:

**0.1**

A bag contains three red marbles, one yellow marble, and six
green marbles. Two marbles are drawn from the bag with replacement.
One marble is drawn, the color is recorded, and the marble is
returned to the bag. A second marble is drawn from the bag and the
color is recorded.
a. What is the probability that both marbles are yellow?
b. What is the probability that both marbles are red?
c. What is the probability of drawing one green...

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?

There are two urns. The first urn has three red, one blue and
four yellow marbles. The second urn has two red, four blue and two
yellow marbles. If you draw one marble from each urn, what are the
probabilities of the following events?
What is the chance of getting two blue marbles?
What is the chance of getting no blue marbles?
What is the chance of getting at least one yellow marble?
What is the chance that the marbles...

(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...

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

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...

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...

A bag contains 7 purple marbles and 4 red marbles. One marble is
drawn and not replaced. Then a second marble is drawn.Draw a tree
diagram to represent this scenario and show the probability on each
branch.

(a) A urn contains one red marble, one green marble and one blue
marble. An experiment consists of taking one marble from the urn,
then returning it and drawing a second marble. What is the
probability that exactly one red marble is selected?
(b) What is the probability that exactly one red marble is
selected if the experiment is without replacement (marble is not
returned)?

**ASAP**
A bag contains 7yellow marbles, 10 red marbles, 6 green marbles.
If one marble is drawn from the bag then replaced, what is the
probability of drawing a yellow marble then a green marble?
In a number guessing game. You ask a person to guess a number from
one 1 to 10. If the person makes a random guess, what is the
probability their guess will be less than 8?
A bag contains 10 blue marbles, 6...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 12 minutes ago

asked 34 minutes ago

asked 45 minutes ago

asked 48 minutes ago

asked 53 minutes ago

asked 57 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago