Question

I roll two dice, as discussed in class. What's the probability of rolling an 8 or rolling doubles? (Your answer should be accurate to at least three decimal places)

Answer #1

TOPIC:Classical definition of probability, Additive law of probability.

Consider rolling two fair six-sided dice.
a) Given that the roll resulted in sum of 8, find the
conditional probability that first die roll is 6.
b) Given that the roll resulted in sum of 4 or less, find the
conditional probability that doubles are rolled.
c) Given that the two dice land on different numbers, find the
conditional probability that at least one die is a 6.

If
a pair of dice is rolled, what is the probability of a) rolling a
sum of 8, b) rolling a sum of 3 or rolling a sum of 6, c) rolling a
sum of 4 or rolling doubles, if a pair of dice is rolled twice,
whatnis the probability of d) rolling a sum of 9 on the first roll
and rolling a sum of 2 on the second roll

If you roll two
dice what’s the probability of rolling a seven the numbers on the
dice add up to seven on or before the eight roll?

Rolling Snake Eyes
We roll two six-sided dice d1 and d2. What is
the probability that we roll two ones. (i.e., the probability that
d1=d2=1).
We roll two six-sided dice d1 and d2 and at
least one of the dice comes up as a one. What is the (conditional)
probability that we roll two ones.
We roll two six-sided dice d1 and d2 and at
least one of the dice comes up as a one. What is the (conditional)
probability...

We roll three fair six-sided dice.
(a) What is the probability that at least two of the dice land on a
number greater than 4?
(b) What is the probability that we roll a sum of at least
15?
(c) Now we roll three fair dice n times. How large need n be in
order to guarantee a better
than 50% chance of rolling a sum of at least 15, at least once?

what is the probability of rolling doubles with two dice?

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.

I am going to roll two fair dice.
List the sample space
What is the probability that I will roll a 3 on one of them
when I roll both at the same time?
What is the probability that I will roll at
least a sum of 7 when I roll them both?
Define mutually exclusive
Define independent

(5) Rolling two four-sided dice, what’s the likelihood of
getting the same result (i.e., the same sum) twice in a row?
(5) Rolling three four-sided dice, what is the probability of
totaling at least 9?
(5) Rolling three four-sided dice twice, what is the expected
total?
(5) Rolling three four-sided dice twice, what is the
probability of actually getting exactly the expected total
from Problem 8?
(10) Rolling three four-sided dice twice, what is the
probability of the second total...

Dice Rolling) Write an application to simulate the
rolling of two dice. The application should use an object of class
Random once to roll the first die and again to roll the second die.
The sum of the two values should then be calculated. Each die can
show an integer value from 1 to 6, so the sum of the values will
vary from 2 to 12, with 7 being the most frequent sum and 2 and 12
being the...

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