Question

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?

Answer #1

An urn has 12 balls. 8 are white balls and 4 are black
balls.
If we draw a sample of 3 balls (i.e., picking without
replacement) and given that the first two balls selected were a
black ball and a white ball, what is the conditional probability of
the third ball drawn being white?

An urn contains 12 white and 21 black balls. Balls are
drawn one by one, without replacement, until 4 black balls are
drawn. Find an expression for the probability that the total number
of balls drawn is x.

An urn contains 15 white and 21 black balls. Balls are
drawn one by one, without replacement, until 6 white balls are
drawn. Find an expression for the probability that the total number
of balls drawn is x.

Suppose that there is a white urn containing three white balls
and one red ball and there is a red urn containing two white balls
and four red balls. An experiment consists of selecting at random a
ball from the white urn and then (without replacing the first ball)
selecting at random a ball from the urn having the color of the
first ball. Find the probability that the second ball is red.
-please state answer in fraction-

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?

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...

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

An urn contains 12 white and 21 black balls. Balls are
drawn one by one, with replacement, until 4 white balls are drawn.
Find an expression for the probability that the total number of
balls drawn is x.

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...

1.an urn containing 9 black,12 white and 15 red balls is
randomly divided into 3 baskets containing 12 balls each.what is
the probability that each basket will have the same number of black
balls?
2.cards are drawn at random from an ordinary deck of 52,one by
one without replacement.what is the probability that no king is
drawn before the ace of spades is drawn?

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