Question

An urn has 15 white balls, 13 green balls, 10 yellow balls, and
12 red balls. Determine the probability that it will come
out:

a. A red ball

b. A green ball

c. A white ball

d. A red ball and a yellow ball

e. A ball that is not green

Calculate the probability that the number 89 will come out when
taking a ball from a bag with 120 balls numbered from 1 to 120.

Calculate the probability that "a number between 1 and 125" will
come out when removing a ball from a bag with 130 balls numbered
from 1 to 130.

If four questions with four options each are answered randomly,
what is the probability of matching all of them?

Calculate the probability that "a number between 1 and 3" will come
out when rolling a die.

If a die is rolled and the result is observed: What is the probability that a 6 does not come out?

Answer #1

Urn A has 8 Red balls and 5 Green balls while Urn B has 1 Red
ball and 3 Green balls.
A fair die is tossed. If a “5” or a “6” are rolled, a ball is drawn
from Urn A. Otherwise, a ball is drawn from Urn B.
(a) Determine the conditional probability that the chosen ball is
Red given that Urn A is selected?
(b) Determine the conditional probability that the chosen ball is
Red and Urn B...

A bag contains 10 white, 12 blue, 13 red, 7 yellow, and 8 green
wooded balls. A ball is selected from the bag, its color noted,
then replaced. You then draw a second ball, note its color and then
replace the ball. What is the probability of selecting 2 white
balls? Round to the nearest ten-thousandth.

In an urn, there are 20 balls of four colors: red, black, yellow
and blue. For each color, there are 5 balls and they are numbered
from 1 to 5.
1) If one ball is randomly drawn from the urn, what is the
probability that the randomly selected ball is red or blue?
2) If one ball is randomly drawn from the urn, what is the
probability that the randomly selected ball is numbered 1 or
blue?

We have two urns: Urn A contains 6 red balls and 4 white balls,
Urn B contains 4 red balls and 8 white balls. A die is rolled, if a
number less than 3 appears; we go to box A; if the result is 3 or
more, we go to ballot box B. Then we extract a ball. It is
requested:
to. Probability that the ball is red and ballot box B.
b. Probability that the ball is white.

An urn contains 1 green ball, 1 red ball, 1 yellow ball and 1
white ball. I draw 5 balls with replacement. What is the
probability that exactly 2 balls are of the same color?

An urn contains 29 red, 22 green and 10 yellow balls. Draw two
balls with replacement. What is the probability
that the number of red balls in the sample is exactly 1 or the
number of yellow balls in the sample is exactly 1 (or both)?

An urn contains 10 red balls, 7 green balls, and 3 yellow balls.
Draw 5 balls.
What's the probability that you draw 2 red, 2 green, and 1
yellow?
(Same experiment as above) What's the probability that you draw
2 red, 1 green, and 2 yellow?

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.

Urn A has 17 white and 4 red balls. Urn B has 9 white and 13 red
balls. We flip a fair coin. If the outcome is heads, then a ball
from urn A is selected, whereas if the outcome is tails, then a
ball from urn B is selected. Suppose that a red ball is selected.
What is the probability that the coin landed heads? n

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-

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