Question

We have 3 bowls,

1) The first bowl contains 3 red and 2 green balls

2) the second bowl contains 2 red and 1 white balls

3) the third one contains 1 red and 3 green balls

One bowl by the random is selected and then 2 balls will be drawn. what is the probability that both of these balls will be red?

Answer #1

We have 3 bowls,
1) The first bowl contains 3 red and 2 green balls
2) the second bowl contains 2 red and 1 white balls
3) the third one contains 1 red and 3 green balls
One bowl by the random is selected and then 2 balls will be
drawn. what is the probability that both of these balls will be
red?

We have 3 bowls,
1) The first bowl contains 3 red and 2 green balls
2) the second bowl contains 2 red and 1 white balls
3) the third one contains 1 red and 3 green balls
One bowl by the random is selected and then 2 balls will be
drawn. what is the probability that both of these balls will be
red?

2)
In the first of the two jars, there are 3 red balls, 2 white balls,
in the second 2 red and 5 white balls. A random jar is selected.
One ball is selected from the selected jar and thrown into the
other; and a ball is drawn from the second jar. What is the
probability that both of the balls drawn will be of the same
color?

Five identical bowls are labeled 1, 2, 3, 4, and 5. Bowl
i contains i white and 5 − i black
balls, with i = 1, 2, , 5.
A bowl is randomly selected and two balls are randomly selected
(without replacement) from the contents of the bowl.
Given that both balls selected are white, what is the
probability that bowl 5 was selected?

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 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 =

I have two bags. Bag 1 contains 3 green balls, while bag 2
contains 2 green balls.
I pick one of the bags at random, and throw 5 red balls in it. Then
I shake the bag and choose
4 balls (without replacement) at random from the bag.
(a) If bag 1 is picked, what is the probability that there are
exactly 2 red balls among
the 4 chosen balls?
(b) If bag 2 is picked, what is the probability...

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.

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).

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.

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