Question

(5) 7. Suppose I have 5 yellow marbles and 3 red marbles in a bag. Show your work for each computation?

A. What is the probability of choosing 2 red marbles with replacement?

B. What is the probability of choosing 2 yellow marbles without replacement?

C. Which is more likely to choose 2 red marbles with replacement or 2 yellow marbles without replacement?

D. Is it possible to choose 4 red marbles without replacement? Why or why not? What is the probability of choosing 4 red marbles without replacement?

E. Is it possible to choose 4 yellow marbles without replacement? Why or why not? What is the probability of choosing 4 yellow marbles without replacement?

Answer #1

A bag contains 3 red marbles, 5 blue marbles, 8 yellow marbles,
and 7 green marbles. What is the probability of choosing a yellow
or green marble when one marble is drawn?

A bag contains 3 red marbles, 5 blue marbles, 8 yellow marbles,
and 7 green marbles. What is the probability of choosing a yellow
or green marble when one marble is drawn?

A bag contains 5 red marbles, 7 white marbles, and 7 blue
marbles. You draw 3 marbles out at random, without replacement.
What is the probability that all the marbles are red? These are
very small probabilities so enter your answer with four significant
digits. For example: 0.0001345.
The probability that all the marbles are red is ______ .
What is the probability that none of the marbles are red?
The probability that none of the marbles are red is...

A bag contains 8 blue marbles, 3 red marbles, 7 yellow marbles.
If one marble is drawn from the bag then replaced, what is the
probability of drawing a blue marble then a yellow 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 3?
A bag contains 3 white marbles, 7 yellow marbles,...

There are 9 red marbles, 7 blue marbles, 5 yellow marbles, and 3
white marbles in a bag. You randomly pick one of the marbles from
the bag. What is the probability that the marble is not white?

1. A bag contains 10 black marbles, 8 red marbles, 7
yellow marbles. If one marble is drawn from the bag then replaced,
what is the probability of drawing a black marble then a yellow
marble?
2. In a number guess game you ask a person to guess a
number from 1 to 10. If the person makes a random guess, what is
the probability their guess will be less than 4?
3. A bag contains 8 blue marbles, 7...

Penn and Teller have a bag that contains 4 blue marbles and 3
yellow marbles. Create a tree diagram that shows the possibilities
for taking two marbles from the bag WITHOUT replacement . Show the
probability for each element in the sample space.

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...

There are 5 blue marbles, 7 red marbles, and 6 white marbles in
a bag. Five of the marbles are selected without replacement. What
is the probability of selecting two marbles from one color, two
marbles from another color, and one from the remaining color?

A bag contains 10 red marbles, 5 white marbles, and 5 blue
marbles. You draw 5 marbles out at random, without replacement.
What is the probability that all the marbles are red?
What is the probability that exactly two of the marbles are
red?
What is the probability that none of the marbles are red?

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