Question

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

Answer #1

Answer: **11/12 = 0.9167**

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.

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.

1. Two 6-sided dice are rolled. What is the probability that
the sum of the two numbers on the dice will be greater than
10?
2. A lottery game has balls numbered 1 through 19. What is the
probability that a randomly selected ball has an even number or a
10.

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

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.

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
dice rolled. What is the probability of obtaining a sum greater
than 9, but less than 13?

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

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 six fair dice are rolled,
a. On average, what is the sum of the number of spots showing on
top of the 6 dice?
b. What is the probability that all the dice show only ones and
sixes (in any proportion)?

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