Question

1. Answer the following questions on probability distributions:

a) A game is played by rolling two dice. If the sum of the dice is either 2 or 11 then you win $2. If the sum is a 5, then you win $1. All other sums you win zero. If the cost of the game is 75 cents, is the game fair?

b)A game consists of rolling a pair of dice 10 times. For each sum that equals either three, four, or five on the two dice you win $2. If it costs $5 to play the game, is it a fair game?

Answer #1

You pay $1 to play a game. The game consists of rolling a pair
of dice. If you observe a sum of 7 or 11 you receive $4. If not,
you receive nothing. Compute the expected value and standard
deviation for this game?

You pay $1 to play a game. The game consists of rolling a pair
of dice. If you observe a sum of 7 or 11 you receive $4. If not,
you receive nothing. Compute the expected value and standard
deviation for this game?

1) A dice game involves rolling 2 dice. If a 2, 3, 4, 10, 11, or
12 (the sum of the two) is rolled, you win $5.00. If you roll a 5,
6, 7, 8, or 9 you lose $5.00. Find the expected value per play.
Please explain the work in detail

A game consists of rolling two dice. The game costs $2 to play.
You roll a two dice. If the outcome totals 9 you get $10.
Otherwise, you lose your $2. Should you play the game? Explain
using probability.

To play the 7-11 game at a gambling casino one must pay $1. if
one rolls a sum of 7 or a sum of 11 one wins $5, since one paid $1
to play the net gain is $4. for all other sums rolled the net gain
is -$1.
a. Play the game for 36 rolls of two dice. Record the sums you
rolled in the chart provided.
Sum: 2 3 4 5 6 7 8 9 10 11 12...

. A
dice game is played as follows: you pay one dollar to play, then
you roll a fair six-sided die. If you roll a six, you win three
dollars. Someone claims to have won a thousand dollars playing this
game nine thousand times. How unlikely is this? Find an upper bound
for the probability that a person playing this game will win at
least a thousand dollars.

Please follow the comment.
2. Roll two fair dice repeatedly. If the sum is ≥ 10, then you
win.
(a) What is the probability that you start by winning 3 times in
a row?
(b)What is the probability that after rolling the pair of dice 5
times you win exactly 3 times?
(c) What is the probability that the first time you win is
before the tenth roll (of the pair), but after the fifth?

please answer the following questions:
*An experiment consists of rolling two dice. Find the
probability that the sum is greater than or equal to 9 or
even.
*A die is rolled. find
a- sample space for the experiment.
b- event of rolling an even number.
c- probability of rolling at least a number 3.

For the following questions, find the
probability using a standard 6-sided die or two 6-sided dice. Write
your answer as a fraction or with a colon in lowest terms.
Rolling a single die, what is the probability of rolling an
even number?
Rolling a single die, what is the probability of rolling a
5?
Rolling a single die, what is the probability of rolling a
7?
Rolling a single die, what is the probability of rolling a
number less than...

The following game is played in a casino. The participant would
roll two fair dice and if they sum to 8 or higher, the participant
wins 4$ otherwise they lose 3$. What is the expected payout the
casino will make as each game is played?

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