Question

-Determine the probability of the following events. State any assumptions that you use.

1.) What is the probability of not tossing 3 heads with three fair coins?

- Odds. Use the definition given in the text to find both the odds for and the odds against the following events.

1.) Flipping two fair coins and getting 2 heads

- Use the definition of odds in betting to find the following odds.

1.) The odds on (against) your bet are 6 to 5. If you bet $20 and win, how much will you gain.

Answer #1

Determine whether the following individual events are
independent or dependent. Then find the probability of the combined
event.
1.) Drawing three jacks in a row from a standard deck of cards
when the drawn card is not returned to the deck each time
-The event of drawing a jack and the event of
drawing a jack the next time are dependent or
independent.
-The probability of drawing three jacks in a row
from a standard deck of cards when the...

Find the probability of each of the following events:
(i) Tossing a coin 5 times with the outcome of five heads.
(ii) Tossing four coins with the outcome of two heads and two
tails in any order.

You are given 3 to 2 odds against tossing three heads with
three? coins, meaning you win ?$3 if you succeed and you lose ?$2
if you fail. Find the expected value? (to you) of the game. Would
you expect to win or lose money in 1? game? In 100? games?
Explain.

You are given 5 to 2 odds against tossing three heads with
three coins, meaning you win $5 if you succeed and you lose $2
if you fail. Find the expected value (to you) of the game. Would
you expect to win or lose money in 1 game? In 100 games? Explain.
Find the expected value (to you) for the game.

A selection of coin is known to be either fair (with a
probability 0.5 of coming up heads or tails when flipped) or biased
(with a probability 0.75 of tails, 0.25 of heads.) Further. it is
known that 1/10 of the coins are biased. a) You select a coin at
random. What are the prior odds (not probability) that you have
picked a biased coin? b) You select a coin at random and flip it;
you get tails. What are...

After losing his blackjack game, Ebert then goes to the race
track. He wants to bet $20 on one of the following horses:
Horse name Odds Against
Maximum 8:1
Improbable 5:1
Code of Honor 12:1
Game Winner 9:2
Tax 20.1
A)Using the odds given, calculate the probability of each horse
winning the race.
B)Based on your calculation in part (a), which horse should
ebert bet on? Why?
C) at a horse race, if the odds against your horse are a:b...

$ (prize)
$(profit)
x = # of
heads
P(x)
$1
$3
0
0.03125
$ 1
$3
1
0.15625
$1
$ 1
2
0.31250
$1
$1
3
0.31250
$ 1
$0
4
0.15625
$ 1
$0
5
0.03125
1. A fair coin is tossed five times. The probability of
observing “x” heads among the 5 coins is given in the table above.
A particular game consists of tossing a fair coin 5 times. It costs
$1 to play the game; you...

Consider two coins, one fair and one unfair. The probability of
getting heads on a given flip of the unfair coin is 0.10. You are
given one of these coins and will gather information about your
coin by flipping it. Based on your flip results, you will infer
which of the coins you were given. At the end of the question,
which coin you were given will be revealed.
When you flip your coin, your result is based on a...

you are given 4 to 1 odds against three heads with three coins ,
meaning you win $4 if you succeed and you lose $1 if you fail. find
expected value of game . what would you expect to win in 1 game or
100 games?
I understand the formula for finding the expected value . what i
am having trouble with is putting the information into the equation
regarding where it gets
put into the equation

2. Probability
For the following events:
a) State whether these are and or or probabilities
b) State whether they are independent or dependent (for and ) or
overlapping or
non-overlapping (for or )
c) Find the probability of the event.
Randomly selecting a committee of seven from a pool of 15 men and
15 women, and ending up
with all women.
Getting a sum of either 6 or 8 on a roll of two dice.
Getting at least one parking...

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