Question

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 was the first one

(b) the probability that the urn selected was the second one

Answer #1

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.

A bag contains 7 red balls and 5 white balls. Two balls are
drawn without replacement. (Enter your probabilities as
fractions.)
(a) What is the probability that the second ball is white, given
that the first ball is red?
(b) What is the probability that the second ball is red, given that
the first ball is white?
(c) Answer part (a) if the first ball is replaced before the second
is drawn.

A bag contains 6 red balls and 7 white balls. Two balls are
drawn without replacement. (Enter your probabilities as
fractions.)
(a) What is the probability that the second ball is white, given
that the first ball is red?
(b) What is the probability that the second ball is red, given
that the first ball is white?
(c) Answer part (a) if the first ball is replaced before the
second is drawn.

Urn 1 contains 7 red balls and 3 black balls. Urn 2 contains 1
red ball and 3 black balls. Urn 3 contains 3 red balls and 1 black
ball. If an urn is selected at random and a ball is drawn, find the
probability that it will be red.
Enter your answer as a fraction in simplest form or a decimal
rounded to 3 decimal places.

Use a probability tree to find the probabilities of the
indicated outcomes. An urn contains 3 red, 4 white, and 5 black
balls. One ball is drawn from the urn, it is not replaced, and a
second ball is drawn. (Enter your probabilities as fractions.) (a)
What is the probability that both balls are white? (b) What is the
probability that one ball is white and one is red? (c) What is the
probability that at least one ball is...

Two balls are drawn from a bag containing 5 white balls and 7
red balls. If the first ball is replaced before the second is
drawn, what is the probability that the following will occur?
(Enter your probabilities as fractions.)
(a) both balls are red
(b) both balls are white
(c) the first ball is red and the second is white
(d) one of the balls is black

Three balls are randomly drawn from an urn that contains four
white and nine red balls. (a) What is the probability of drawing a
red ball on the third draw? (Round your answer to 3 decimal
places.) Correct: Your answer is correct. (b) What is the
probability of drawing a red ball on the third draw given that at
least one red ball was drawn on the first two draws? (Round your
answer to 3 decimal places.]

An urn contains two red balls and three white balls.
If a ball is chosen at random, what is the probability that it
is white?
Group of answer choices
0
1
2/5
1/5
3/5
An urn contains two red balls and three white balls.
Suppose two balls are drawn randomly. What is the probability
that both will be white?
Group of answer choices
1/10
3/20
6/20
9/20
9/25

Two balls are drawn from a bag containing 4 white balls and 3
red balls. If the first ball is replaced before the second is
drawn, what is the probability that the following will occur?
(Enter your probabilities as fractions.)
(a) both balls are red
(b) both balls are white
(c) the first ball is red and the second is white
(d) one of the balls is black
A die is thrown twice. What is the probability that a 2...

Urn 1 contains 4 red balls and 3 black balls. Urn 2 contains 1
red ball and 3 black balls. Urn 3 contains 4 red balls and 2
black balls. If an urn is selected at random and a ball is
drawn, find the probability that it will be red.
Enter your answer as a fraction in simplest form or a decimal
rounded to 3 decimal places.
P(red)=

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