Question
In: Math
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
Solutions
Expert Solution
This question is based on the
concept of conditional probability. Finding out the joint
probability is the important task and must be carefully
observed
milcah answered 1 year 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?
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...
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
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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.
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?
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. 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?
An urn contains 5 green balls and 8 red balls. One of the balls is drawn...
An urn contains 5 green balls and 8 red balls. One of the
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The drawn ball is returned to the urn with 3 additional balls
of the same color. A second
ball is drawn from the newly constituted urn.
a. What is the probability the second ball is green?
b. Given that the second ball was red, what is the probability
that the first ball was green?
Urn 1 contains 8 green balls and 10 red balls. Urn 2 contains 7 green balls...
Urn 1 contains 8 green balls and 10 red balls. Urn 2 contains 7
green balls and 5 red balls. A die is rolled, if a 1 or 2 is
rolled, a ball is chosen from urn 1, if a 3, 4, 5, or 6 is rolled,
a balls is chosen from urn 2. What is the probability of selecting
a green ball? Please show all work.
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