Question

1. Two balls are drawn from a bag containing 9 white balls and 2 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

2.The table gives the results of a survey of 1000 people about reducing industries' carbon emissions. Favor Oppose No Opinion Total Democrat 305 145 55 505 Republican 120 345 30 495 Total 425 490 85 1000 What is the probability that a person selected at random from this group will favor reducing industries' carbon emissions, given that the person is a Democrat? (Enter your probability as a fraction.)

Answer #1

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

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...

A bag contains 6 red balls and 9 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 survey questioned 1000 people regarding raising the...

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.

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?

Two balls are drawn in succession out of a box containing 7 red
and 3 white balls. Find the probability that the second ball was
red, given that the first ball was: (A) replaced before the
second draw. (B) not replaced before the second draw.

Two balls are drawn in succession out of a box containing 2 red
and 5 white balls. Find the probability that at least 1 ball was
red, given that the first ball was
(A) Replaced before the second draw.
(B) Not replaced before the second draw.
(A) Find the probability that at least 1 ball was
red, given that the first ball was replaced before the second
draw.
(Simplify your answer. Type an integer or a fraction.)
(B) Find the...

A ball is drawn randomly from a jar that contains 3 red balls, 8
white balls, and 2 yellow ball. Find the probability of the given
event.
(a) A red ball is drawn;
The probability is :
(b) A white ball is drawn;
The probability is :
(c) A red or white ball is drawn;
The probability is :

From an urn containing 3 white and 2 black balls, two balls
are drawn one after the other
without replacement. What is the probability that the first
ball drawn is white and the
second black?

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