Question

An urn contains 17 white balls and 9 green balls. A sample of seven is selected at random. What is the probability that the sample contains at least one green ball?

a) 1.0000

b) 0.8307

c) 0.9704

d) 0.0000

e) 0.1693

f) None of the above.

Answer #1

**Answer:**

**Given that:**

An urn contains 17 white balls and 9 green balls. A sample of seven is selected at random.

Urn contains 17 white balls and 9 green balls

You are selecting 7 balls at random

The probability of getting at least one green ball is same as 1- probability of getting no green ball

i,e

Option (c) is correct answer

An urn contains 3 white balls and 7 red balls. A second urn
contains 7 white balls and 3 red balls. An urn is selected, and the
probability of selecting the first urn is 0.2. A ball is drawn from
the selected urn and replaced. Then another ball is drawn and
replaced from the same urn. If both balls are white, what are the
following probabilities? (Round your answers to three decimal
places.)
(a) the probability that the urn selected...

An urn contains five blue, six green and seven red balls. You
choose five balls at random from the urn, without replacement (so
you do not put a ball back in the urn after you pick it), what is
the probability that you chose at least one ball of each
color?(Hint: Consider the events: B, G, and R, denoting
respectively that there are no blue, no green and no red balls
chosen.)

An urn contains 9 red balls, 7 blue balls and 6 green
balls. A ball is selected and its color is noted then it is placed
back to the urn. A second ball is selected and its color is noted.
Find the probability that the color of one of the balls is red and
the color of the other ball is blue.
A. 0.2603
B. 0.2727
C. 0.4091
D. 0.3430

One urn contains 10 red balls and 10 white balls, a second urn
contains 8 red balls and 4 white balls, and a third urn contains 5
red balls and 10 white balls. An urn is selected at random, and a
ball is chosen from the urn. If the chosen ball is white, what is
the probability that it came from the third urn? Justify your
answer.

Urn A has 17 white and 4 red balls. Urn B has 9 white and 13 red
balls. We flip a fair coin. If the outcome is heads, then a ball
from urn A is selected, whereas if the outcome is tails, then a
ball from urn B is selected. Suppose that a red ball is selected.
What is the probability that the coin landed heads? n

Urn A contains 5 green and 3 red balls, and Urn B contains 2
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 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 6 green and 4 red balls, and Urn B contains 3
green and 7 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.

2. Urn A contains 6 green and 4 red balls, and Urn B contains 3
green and 7 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.

An urn contains 7 red balls, 18 blue balls and 15
green balls. A ball is selected and its color is noted and then it
is placed back to the urn. A second ball is selected and its color
is noted. Find the probability of that both balls has the same
color.
A. 0.1575
B. 0.3738
C. 0.3750
D. 0.1750

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