Question

An urn contains 7 balls: 2 white, 3 green, and 2 red.

- We draw 3 balls without replacement. Find the probability that we don’t see all three colors.Probability =
- We draw 3 balls with replacement. Find the probability that we don’t see all three colors.Probability =

Answer #1

An urn contains 8 balls, 3 white, 3 green and 2 red.
a) We draw 3 balls without replacement. Find
the probability that we don't see all three colors.
b) We draw 3 balls with replacement. Find the
probability that we don't see all three colors.

Suppose that an urn contains 8 red balls and 4
white balls. We draw 2 balls
from the urn without replacement.
Now suppose that the balls have
different weights, with each red ball having weight
r and each white ball having weight w. Suppose that the
probability that a given ball in
the urn is the next one selected is its weight divided by the
sum of the weights of all
balls currently in the urn.
Now what is the...

An urn contains 1 white, 2 black, 3 red, and 4 green balls. If 6
balls are selected randomly (without replacement) and X represents
the number of selections that are either red or green, find: (a)
the probability mass function for X. (b) the expected value of X
(calculate this value directly by using the probability mass
function from part a).

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 10 red balls, 7 green balls, and 3 yellow balls.
Draw 5 balls.
What's the probability that you draw 2 red, 2 green, and 1
yellow?
(Same experiment as above) What's the probability that you draw
2 red, 1 green, and 2 yellow?

An urn contains 2 white balls, 3 red balls, and 5 blue balls.
You draw 3 balls (all at once) from the urn. What is the
probability that they are all blue?

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 blue and 8 green balls. You remove 3 balls
from the urn without replacement. What is the probability that at
least 2 out of the 3 balls are green.

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 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.

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