Question
In: Statistics and Probability
In an urn, there are 5 red balls, 5 green balls, 4 yellow balls, and 6...
In an urn, there are 5 red balls, 5 green balls, 4 yellow balls, and 6 white balls. You are drawing balls without replacement.
a. When you draw the first ball, what is the probability that the ball will be white?
b. Let us assume that you have drawn two balls and both of them are green. What is the probability that the next ball drawn will be green?
c. Let us assume that the third ball drawn is also green like the first two balls. What is the probability that the fourth ball drawn is white?
d. Let us assume that a fourth ball is drawn, but the color is not revealed to you. What is the probability that the fifth ball drawn is white?
Solutions
orchestra answered 2 years agoRelated Solutions
An urn contains 5 red balls, 4 green balls and 4 yellow balls, for a total...
An urn contains 5 red balls, 4 green balls and 4 yellow balls,
for a total of 13 balls.
if five balls are randomly selected without replacement, what is
the probability of selecting at least two red balls, given that at
least one yellow ball is selected?
Conditional Probability Problem: An urn contains 5 red balls, 4 green balls, and 4 yellow balls...
Conditional Probability Problem: An urn contains 5 red balls, 4
green balls, and 4 yellow balls for a total of 13 balls. If 5 balls
are randomly selected without replacement what is the probability
of selecting at least two red balls given that at least one yellow
ball is selected?
a) 0.59
b) 0.61
c) 0.63
d) 0.65
e) 0.67
An urn contains 4 red, 5 blue, 2 yellow, and 9 green balls. A group of...
An
urn contains 4 red, 5 blue, 2 yellow, and 9 green balls. A group of
5 balls is selected at random without replacement. What is the
probability that the sample contains:
a. atleast one of each color?
b. at most 3 green balls?
An urn contains 6 red balls and 4 green balls. A sample of 7 balls is...
An urn contains 6 red balls and 4 green balls. A sample of 7
balls is selected at random.
a. How many different samples are possible?
b. How many samples contain 5 red and 2 green balls?
c. How many sample contain all red balls?
d. How many samples contain at least 4 red balls?
e. What is the probability in a draw of 7 balls there is 3 red
and 4 green?
For an urn containing 4 red balls and 6 green balls, let the number of balls...
For an urn containing 4 red balls and 6 green balls, let the
number of balls randomly drawn be the number of heads turning up
when 5 fair coins have been previously flipped. What is the
probability of drawing 3 green balls?
Urn A contains 5 green and 4 red balls, and Urn B contains 3 green and...
Urn A contains 5 green and 4 red balls, and Urn B contains 3
green and 6 red balls. One ball is drawn from Urn A and transferred
to Urn B. Then one ball is drawn from Urn B and transferred to Urn
A. Let X = the number of green balls in Urn A after this process.
List the possible values for X and then find the entire probability
distribution for X.
Urn A contains 5 green and 4 red balls, and Urn B contains 3 green and...
Urn A contains 5 green and 4 red balls, and Urn B contains 3
green and 6 red balls. One ball is drawn from Urn A and transferred
to Urn B. Then one ball is drawn from Urn B and transferred to Urn
A. Let X = the number of green balls in Urn A after this process.
List the possible values for X and then find the entire probability
distribution for X.
PROBLEM 2. 20 pts. An urn contains 4 Red balls and 6 Green balls. If 4 balls are...
PROBLEM 2. 20 pts. An urn contains 4 Red
balls and 6 Green balls.
If 4 balls are taken one at a time with replacement. Find the
probability that one is R. Find also the expected number of R and
the standard deviation of R
If 4 two balls are taken one at a time without replacement.
Find the probability that only one is Red
PROBLEM 2. 20 pts. An urn contains 4 Red balls and 6 Green balls. If 4...
PROBLEM 2. 20 pts. An urn contains 4 Red balls and 6 Green
balls. If 4 balls are taken one at a time with replacement. Find
the probability that one is R. Find also the expected number of R
and the standard deviation of R If 4 two balls are taken one at a
time without replacement. Find the probability that only one is
Red
An urn contains 6 red balls and 4 green balls. Three balls are chosen randomly from...
An urn contains 6 red balls and 4 green balls. Three balls are
chosen randomly from the urn, without replacement.
(a) What is the probability that all three balls are red? (Round
your answer to four decimal places.)
(b) Suppose that you win $20 for each red ball drawn and you
lose $10 for each green ball drawn. Compute the expected value of
your winnings.
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