Question

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.)

Answer #1

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?

Find the conditional probability, in a single roll of two fair
6-sided dice, that the sum is less than 6, given that the sum is
odd.

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?

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 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?

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.

You roll two six-sided fair dice.
a. Let A be the event that either a 3 or 4 is rolled first
followed by an odd number.
P(A) = Round your answer to four decimal places.
b. Let B be the event that the sum of the two dice is at most
7.
P(B) = Round your answer to four decimal places.
c. Are A and B mutually exclusive events?
No, they are not Mutually Exclusive
Yes, they are Mutually Exclusive
d....

You roll two six-sided fair dice. a. Let A be the event that the
first die is even and the second is a 2, 3, 4 or 5. P(A) = Round
your answer to four decimal places. b. Let B be the event that the
sum of the two dice is a 7. P(B) = Round your answer to four
decimal places. c. Are A and B mutually exclusive events? No, they
are not Mutually Exclusive Yes, they are Mutually...

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?

A standard pair of six-sided dice is rolled. What is the
probability of rolling a sum less than 3? Express your answer as a
fraction or a decimal number rounded to four decimal places.

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