Question

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 P(x) |

(b) What is the expected value of player's winnings? Round to the
nearest hundreth.

(c) Interpret the meaning of the expected value in the context of
this problem.

Use the space below to type your answer AND/OR to upload a picture
of your work for all the questions in this problem.

Answer #1

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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)...

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

The local lottery is found by randomly selecting 6 ping pong
balls from a container in order without replacement. There are 30
ping-pong balls in the container numbered 0 through 29. 1.) What is
the probability you hold the winning ticket? 2.) How many tickets
should you buy to give yourself a 1% chance of winning the lottery?
A 10% chance? A 25% chance? A 50% chance? 3.) What is the
probability all 6 numbers are even? At least one...

Assume you have a group of ten ping-pong balls numbered from 1-10.
Let us define some events as follows:
Event A: A
randomly selected ball has an odd number on it
Event B: A
randomly selected ball has a multiple of 3 on it
Event C: A randomly selected ball has either a 5 or 8 on it
Answer
the following questions related to probability of the above
described events for a SINGLE trial:
a.
P(A) =
(Remember
this is...

An urn contains seven balls, numbered from 1 to 7. Two balls are
drawn out randomly, with an equal likelihood for each outcome.
(a) What is the probability that the sum of the numbers is
greater than 10?
(b) What is the probability that the product is odd?
(c) What is the probability that the sum is greater than 10 and
the product is odd?
(d) What is the probability that the sum is greater than 10 or
the product...

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?

A card is drawn at random from a standard deck of playing cards
(no jokers). If it is red, the player wins 1 dollar; if it is
black, the player loses 2 dollars. Find the expected value of the
game. Express your answer in fraction form.

You play the following game against your friend. You have 2 urns
and 4 balls One of the balls is black and the other 3 are white.
You can place the balls in the urns any way that you'd like,
including leaving an urn empty. Your friend will choose one urn at
random and then draw a ball from that urn. ( If he chooses an empty
urn, he draws nothing.) She wins if she draws the black ball and...

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...

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