Question

Roll two dice and multiply the numbers. What is the probability that the product is a multiple of 6?

Group of answer choices

A.5/12

B.3/4

C.7/12

D.2/9

Answer #1

TOPIC:Classical definition of probability.

If you roll a die, you get one of the following numbers: 1, 2,
3, 4, 5, 6. Each possibility occurs with equal probability of 1/6.
The expected value of a dice roll is E(D)= 3.5 and the variance of
a dice roll is Var(X) = 2.917.
a) Suppose you roll a die and then add 1 to the roll to get a
new random variable taking one of the following numbers:
2,3,4,5,6,7. What is the variance of this new...

Answer the following two questions.
1. If you roll two dice, what is the probability of not getting
a sum of 7?
2. If you roll two dice, what is the probability the sum is a 4,
7, or 10?

Roll three fair dice. Find the probability mass function of the
product of the three numbers appearing given that their sum is
5.

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?

Question I: You roll 2 fair dice, one red and one
green.
a) What is the probability that the red die does land on
4? does not land on 4?
b) What is the probability that either die lands on 4?
that neither die lands on 4?
c) What is the probability that the sum of the dice is
2? 3? 4? 5? 6? 7? 8? 9? 10? 11? 12?

Let’s assume that there are two dice, and we will roll one of
them, but we don’t know which one. The probability of rolling
either dice is 1/2. One of them is fair in the sense that all 6
outcomes are equally likely. The other die gives probability 1/3 to
numbers 1 through 3 and zero probability to numbers 4-6.
a-)The first roll was a 4. What is the probability that it was
the fair die?
b-)The first roll was...

If you roll two fair dice, what is the probability that the
total number of dots (or "pips") showing on the two dice is less
than 6?
A. 0.417
B. 0.278
C. 0.50
D. 0.167

We roll two fair 6-sided dice, A and B. Each one of the 36
possible outcomes is assumed to be equally likely.
a. Find the probability that dice A is larger than dice B.
b. Given that the roll resulted in a sum of 5 or less, ﬁnd the
conditional probability that the two dice were equal.
c. Given that the two dice land on different numbers, ﬁnd the
conditional probability that the two dice differed by 2.

Two dice were rolled. Answer the questions:
I) What is the probability that the first die will have
a number that is a multiple of 4 as the outcome? (10
points)
a. 1/2
b. 1/4
c. 1/5
d. 1/6
e. None of these
II) What is the probability that the second die will
have “a number less than or equal to 2” as the outcome? (10
points)
a. 1/4
b. 1/3
c. 1/6
d. 2/3
e. None of these
III)...

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

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