Question

- Suppose you have five marbles in a bag, three green (G1, G2,
G3) and two red (R1 and R2). You conduct an experiment where you
continue to select colored marbles one at a time at random from the
bag. You
**stop**selecting marbles when you select a red marble. Without replacement.- Display the possible outcomes in a tree diagram.
- Let
*x*denote the discrete random variable that represents the total number of green marbles that can be selected before a red is selected. Based on part a, what are the possible values for*x*? - Make a probability distribution that displays each value of
*x*along with its corresponding probability*P(x)*. - Calculate the expected value
μ
*=**x*×*P**x*. - Write sentence(s) that describe what exactly μ represents. Include units.

Answer #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...

**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...

1. A bag contains one green marble, two yellow marbles, four
blue marbles, and five red marbles.
a. What is the theoretical probability of randomly drawing a
blue marble from the bag?
b. If you triple the number of green, yellow, blue, and red
marbles in the bag, what will be the theoretical probability of
drawing a blue marble?
C. Compare your answers for part (a) and (b). Are they the same
or different? Explain.
d. How many blue marbles...

You are given a bag containing 50 marbles. The marbles are red,
or green. There is one blue marble in the bag. The odds of randomly
picking a green marble from the bag are 1:24. What is the ratio of
green marbles to red marbles in the bag?

You have seven green marbles, three red marbles, and two blue
marbles in a bag. Suppose you pick three marbles at random from the
bag and do not replace them. What is the probability that all three
marbles are green? (Write you answer as a decimal and round your
answer to 2 places after the decimal point. For example, an answer
of 0.7829 should be rounded to 0.78.)

You have a bag of 6 marbles with 3 green 3 red marbles. You pick
3 marbles at random. You define a Discrete Random Variable X such
that it's value is the number of green marbles out of the 3 marbles
you picked. P(x=0) = P(x=1) = P(x=2) = P(x=3) =

A jar contains 5 red, 9 blue, and 6 green marbles. You randomly
select three marbles from the jar, without replacement.
1. Find the probability of selecting three blue marbles.
2. Find the probability of selecting a marble of each color.
3. Would it be more appropriate to use combinations or permutations
to solve this problem?
4. Find the probability of selecting three red marbles.
5. Find the probability of selecting three green marbles.
6. Find the probability of selecting...

Suppose there is a bag containing 15 pink marbles (Upper P),
15 green marbles (Upper G), 15 violet marbles (Upper V), and 15
black marbles (Upper B). Someone mixes the marbles thoroughly,
draws one marble at random, puts the marble back in the bag,
mixes the bag thoroughly, and draws another marble at random.
Complete parts (a) and (b) below.
List all possible outcomes of this process. Choose the correct
answer below.
. Make the probability distribution showing the probability...

Suppose you have a bag with the following marbles: four (4) red,
six (6) pink, two (2) green, and seven (7) blue. Write any
probability as a decimal to three place values and the odds using a
colon. Determine the following:
a. The odds against pulling out a pink marble is
b.. The probability for pulling out a green or blue marble
is
c. The odds of pulling out either a green or red marble is

You have a bag containing 15 marbles, 5 red, 5 blue, 5
green.
a.) You draw 3 marbles one at a time and return each of them
back to the bag before drawing the next one. What is the
probability that you pick differently colored marbles?
b.) You draw 3 marbles one at a time without returning them.
What is the probability that you pick differently colored
marbles?
c.) You draw 3 marbles one at a time without returning them....

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