Question

In the pool, there are 8 white balls numbered 1 to 8 and 4 black balls numbered 1 to 4. We draw 3 balls without returning them to the pool. What is the probability that: (a) there is (exactly) 1 black ball among the drawn balls? (b) all drawn balls have even numbers?

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?

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...

There are 8 black balls and 7 red balls in an urn. If 4 balls
are drawn without replacement, what is the probability that no more
than 1 black ball is drawn? Express your answer as a fraction or a
decimal number rounded to four decimal places.

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?

There are 4 black balls and 6 white balls in a box. Assume you
pick one ball at a time, and the selection is without replacement.
If you select 2 balls, what is the probability that none of them is
black.

six black balls numbered 1,2,3,4,5, and 6 and eight pink balls
numbered 1,2,3,4,5,6,7, and 8 are placed in an urn. What is the
probability that..... (write answers as a simplified fraction)
a.) it is numbered 1 or 3?
b.) it is numbered 2 or that it is black?

Suppose that an urn contains 8 red balls and 4
white balls. We draw 2 balls
from the urn without replacement.
Now suppose that the balls have
different weights, with each red ball having weight
r and each white ball having weight w. Suppose that the
probability that a given ball in
the urn is the next one selected is its weight divided by the
sum of the weights of all
balls currently in the urn.
Now what is the...

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 ball is drawn from a bag containing 4 white 6 black
and 5 yellow balls.
Find the probability that a ball drawn is 1)white 2)yellow 3)not
yellow 4)yellow or white

Eight balls numbered
1
to
8
are placed in a bag.
Some of the balls are grey and some are white.
The balls numbered
3
,
4
, and
6
are grey. The balls numbered
1
,
2
,
5
,
7
, and
8
are white.
A ball will be selected from the bag at random.
The
8
possible outcomes are listed below.
Note that each outcome has the same probability.
1
2
3
4
5
6
7
8...

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