Question

Box A contains 5 white balls and 7 black balls. Randomly choose one ball. If it is white ball, we randomly draw one more from box A, and if it is black, we choose one ball from box B, in which there are 7 white balls and 8 black balls.

a) What is the probability that in the second draw we will choose a white ball?

b) The second ball is white, what is the probability that the first one was black?

Answer #2

answered by: anonymous

There are two bags of balls. There are 60 white balls and 40
black balls in the first bag. The second bag contains 70 white
balls and 30 black balls. Randomly choose one bag and then randomly
get one ball from that bag. If you get a black ball, throw a coin
and if the coin lands head, report black otherwise report white. If
you get a white ball, report white ball. If we get a report of a
black...

A box contains one white ball, two red balls, and three black
balls. Make a box model.
Five draws are made with replacement from the
box. Find the chance that:
a) A red ball is never drawn.
b) A black ball appears exactly three
times.
c) A white ball appears at least once.

1. A box contains 3 white and 2 black balls. The white balls are
labelled by 1, 2, and 3, and the black balls by 4 and 5. A ball is
randomly picked from the box. Let ? be the number shown on the
picked ball, and ? = 1 if the picked ball is black; ? = 0
otherwise. Find
a. ?(? = 1);
b. ?(? = 4, ? = 1);
c. ?(??);
d. ???(?|? = 4).

Box I contains 7 red and 3 black balls; Box II contains 4 red
and 5 black balls. After a randomly selected ball is transferred
from Box I to Box II, 2 balls are drawn from Box II without
replacement. Given that the two balls are red, what is the
probability a black ball was transferred?

Exercise 2 A box contains 3 white balls, 4 red balls and 5 black
balls. A ball is picked, its color recorded and returned to the
box(with replacement). Another ball is then selected and its color
recorded.
1. Find the probability that 2 black balls are selected.
2. Find the probability that 2 balls of the same color are
selected.
Now 4 balls are picked with replacement
3.Find the probability no red balls are selected.
4.Find the probability that the...

A box contains 4 red and 6 black balls. Two balls are selected
one after the other,
a) What is the probability that the first ball selected is black
and the second ball selected is also black, if the selection is
done without replacement.
b) What is the probability that the first ball selected is black
and the second ball selected is red, if the selection is done
without replacement.
c) What is the probability that the first ball 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...

Given 3 urns, one contains 2 black balls, the second contains 2
white balls, and the third contains 1 ball of each color. An
urn is chosen at random and a ball is drawn from it -- the ball is
white. What is the probability that the other ball in that urn is
also white?

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.

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

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