Question

Let a ball be drawn from an urn containing four balls, numbered 1, 2, 3, 4, and all four outcomes are assumed equally likely. Let E = {1, 2}, F = {1, 3}, G = {1, 4}, whether E, F, G are independent with each other?

Answer #1

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?

Question 3: Consider the following experiment: A ball is drawn
from an urn containing 2 red balls, 2 white balls and 4 blue balls.
If the ball drawn is white, a fair coin is flipped and the outcome
is recorded. If the ball is blue, a card is drawn from a standard
(52 card) deck and the suit (club ♣, diamond ♦, heart ♥ and spade
♠, present in equal proportions in the deck) is recorded. If the
ball is...

Suppose that a ball is selected at random from an urn with balls
numbered from 1 to 100, and without replacing that ball in the urn,
a second ball is selected at random. What is the probability
that:
1. The sum of two balls is below five.
2. Both balls have odd numbers.
3. Two consecutive numbers ar chosen, in ascending order

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?

Urn 1 contains 4 red balls and 3 black balls. Urn 2 contains 1
red ball and 3 black balls. Urn 3 contains 4 red balls and 2
black balls. If an urn is selected at random and a ball is
drawn, find the probability that it will be red.
Enter your answer as a fraction in simplest form or a decimal
rounded to 3 decimal places.
P(red)=

An urn contains 5 red and 9 pink balls. Four balls are randomly
drawn from the urn in succession, with replace
ment. That is, after each draw, the selected ball is returned to
the urn. What is the probability that all 4 balls drawn from the
urn are red? Round your answer to three decimal places.

A ping pong ball is drawn at random from an urn consisting of
balls numbered 4 through 9. A player wins $1.5 if the number on the
ball is odd and loses $0.5 if the number is even.
Let x be the amount of money a player will win/lose when playing
this game, where x is negative when the player loses money.
(a) Construct the probability table for this game. Round your
answers to two decimal places.
Outocme
x
Probability...

ping pong ball is drawn at random from an urn consisting of
balls numbered 4 through 9. A player wins $1.5 if the number on the
ball is odd and loses $1.5 if the number is even.
Let x be the amount of money a player will win/lose when playing
this game, where x is negative when the player loses money.
(a) Construct the probability table for this game. Round your
answers to two decimal places.
Outocme
x
Probability P(x)...

A ping pong ball is drawn at random from an urn consisting of
balls numbered 4 through 9. A player wins $0.5 if the number on the
ball is odd and loses $0.5 if the number is even.
Let x be the amount of money a player will win/lose when playing
this game, where x is negative when the player loses money.
(a) Construct the probability table for this game. Round your
answers to two decimal places.
Outocme
x
Probability...

Three balls are randomly chosen from an urn containing 3 white,
4 red and 5 black balls. Suppose one will win $1 for each white
ball selected, lose 1$ for each red ball selected and receive
nothing for each black ball selected. Let Random Variable X denote
the total winnings from the experiment. Find E(X).

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