Question

Suppose you roll two dice (normal six sided dice). What is the
probability that the sum of the spots on the up-faces is 4?

Answer #1

TOPIC:Classical definition of probability.

Suppose you roll two dice (normal six sided dice). What is the
probability that the sum of the spots on the up-faces is 4 or
8?

Suppose you roll a pair of six-sided dice.
What is the probability that the sum of the numbers on your dice is
at least 9?

You roll two fair six-sided dice. What is the probability that
the sum of the two dice values is exactly five? Be sure to count
all possible outcomes. (Hint: The event space has 36 distinct
outcomes).

Suppose that you roll 117 fair six-sided dice. Find the
probability that the sum of the dice is less than 400. (Round your
answers to four decimal places.)

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?

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...

Two six-sided dice are rolled and the sum of the roll is
taken.
a) Use a table to show the sample space.
b) Find the Probability and the Odds of each event. E: the sum
of the roll is even and greater then 6
P(E) = O(E) =
F: the sum of the roll is 7 or less that 4
P(F) = O(F) =

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.

Two regular six-sided dice are tossed. Compute the probability
that the sum of the pips on the upward faces of the two dice is the
following. (See the figure below for the sample space of this
experiment. Enter the probability as a fraction.)
At most 4

If you roll four (six-sided) dice, what is the probability that
at least one dice will be different from the other three? Leave
answer as a fraction

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