Question

If two fair dice are rolled, find the probability that the sum of the dice is 7, given that the sum is greater than 6.

Answer #1

Two fair dice are rolled and the sum rolled is recorded.
a. Find the probability that the sum is 4. b. Find the
probability that the sum is at least 4.
c. Find the probability that the sum is at most 4.

If two fair dice are rolled, what is the probability that the
sum of the numbers rolled is greater than three?

Two fair dice are rolled.
(a) Find the conditional probability doubles are rolled, given
the sum is eight.
(b) Find the conditional probability the sum is eight, given
doubles are rolled.
(c) Find the probability at least one die lands on six.
(d) Find the conditional probability at least one die lands on
six, given that doubles are not rolled.

Two fair dice are rolled once. Find the probability that their
sum is 8

If two fair dice are rolled find the probabilities of
the following
1. sum greater than or equal to 9 given that the roll was a
double
2. a double given that the sum was strictly greater than 9

Rolling Two Dice When two dice are rolled, ﬁnd the probability
of getting: a. A sum of 4 or 8 b. A sum greater than 8 c. A sum
less than 4 or greater than 10 d. A sum that is greater than or
equal to 5 e. A sum of 13 f. A sum less than 7

Two fair dice are rolled. Find the following probabilities:
a) P(the sum of the dice is five)
b) P(the sum of the dice is not five)

If two dice are rolled one time, find the probability
of getting a sum greater than or equal to 3

Two fair six-sided dice are rolled once. Let (X, Y) denote the
pair of outcomes of the two rolls.
a) Find the probability that the two rolls result in the same
outcomes.
b) Find the probability that the face of at least one of the
dice is 4.
c) Find the probability that the sum of the dice is greater than
6.
d) Given that X less than or equal to 4 find the probability
that Y > X.

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.

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