Question
In: Statistics and Probability
A bag contains 12 yellow marbles, 6 red marbles, 4 green marbles. If one marble is...
A bag contains 12 yellow marbles, 6 red marbles, 4 green marbles.
If one marble is drawn from the bag and then replaced,
what is the probability of drawing a red marble and then drawing
a green marble?
Round your answer to 4 decimal places.
Solutions
orchestra answered 2 years agoRelated Solutions
A bag contains one red marble, two blue marbles and three green marbles. A marble is...
A bag contains one red marble, two blue marbles and three green
marbles. A marble is selected at random. Define a random variable X
such that X=1 if a red marble is selected, X=2 if a blue marble is
selected and X=3 if a green marble is selected. Find the following
probabilities. Hint: The blue marbles are different; you can label
one blue-1 and the other blue-2. Similarly, each of the green
marbles is different.
4a) Find P(X=1)
4b) Find...
A bag initially contained 4 white marbles and 9 black marbles. A marble was drawn and...
A bag initially contained 4 white marbles and 9 black marbles. A
marble was drawn and replaced by two marbles of the opposite
colour. Then another marble was drawn and also replaced by two
marbles of the opposite color. A third marble was then drawn. Find
the probability that the first marble drawn was white if: both the
second and third marbles drawn were white.
Marks: 1 A bag of marbles contains 3 white and 4 black marbles. A marble will...
Marks: 1
A bag of marbles contains 3 white and 4 black marbles. A marble
will be drawn from the bag randomly three times and put back into
the bag. Relative to the outcomes of the first two draws, the
probability that the third marble drawn is white is:
Choose one answer.
a. Independent
b. Conditional
c. Unconditional
d. Dependent
Question54
Marks: 1
A parking lot has 100 red and blue cars in it.
40% of the cars are red....
A bag contains n blue and m red marbles. You randomly pick a marble from the...
A bag contains n blue and m red marbles. You
randomly pick a marble from the bag, write down its color, and then
put the marble back in the bag. This process is repeated until you
pick either two consecutive blue or two consecutive red marbles.
Given that the process stopped because you picked two consecutive
blue marbles, what is the probability that the first marble you
picked was blue?
Please note that the question asks you to derive the...
An urn contains 5 blue marbles and 4 yellow marbles. One marble is removed, its color...
An urn contains 5 blue marbles and 4 yellow marbles. One marble
is removed, its color noted, and not replaced. A second marble is
removed and its color is noted.
(a) What is the probability that both marbles are blue?
yellow?
(b) What is the probability that exactly one marble is
blue?
A tree diagram has a root that splits into 2 branches labeled
blue and yellow. Each primary branch splits into 2 secondary
branches, labeled blue and
yellow.yellowblueblueblueyellowyellow
There are 12 blue marbles, and 17 red marbles in a bag. 6 of the marbles...
There are 12 blue marbles, and 17 red marbles in a bag. 6 of the
marbles are drawn from the bag without being replaced.
N=29 K=17 n=6
P(2 blue, 4 red)?
P(5 blue, 1 red)?
P(1 blue, 5 red)?
Odds against 2 red?
E(red)= ?
σ(blue)= ?
Show work below.
A bag of marbles contains 3 blue marbles, 2 green marbles. 2 marbles are selected from...
A bag of marbles contains 3 blue marbles, 2 green marbles. 2
marbles are selected from the bag without replacement. What is the
probability of getting 1 green marble?
You have a bag of marbles. Your bag contains 75 marbles. You only want the red...
You have a bag of marbles. Your bag contains 75 marbles. You
only want the red marbles. You know that 30 of the marbles in the
bag are red. You randomly select two marbles from the bag and set
them aside without looking at them. Let X represent the number of
red marbles removed. (hint. This is without replacement.)
a) find the probability mass function (i.e. probability
distribution) for the number of red marbles selected.
b) find the expected number...
A box contains 7 red and 5 blue marbles. Suppose we select one marble at a...
A box contains 7 red and 5 blue marbles. Suppose we
select one marble at a time with
replacement.
a. Determine the probability that the first blue marble appears on
the fourth selection.
b. Determine the probability that out of the first 10 selection,
there are at least 2 red
marbles.
c. For part (b), determine the expected and variance number of red
marbles selected.
A box contains 19 large marbles and 18 small marbles. Each marble is either green or...
A box contains 19 large marbles and 18 small marbles. Each
marble is either green or white. 9 of the large marbles are green,
and 8 of the small marbles are white. If a marble is randomly
selected from the box, what is the probability that it is small or
green? Express your answer as a fraction or a decimal number
rounded to four decimal places.
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