Question

A die is rolled twice. What is the probability of showing a 3 on
the first roll and an even number on the second roll?

Your answer is :

Answer #1

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A die is rolled twice. What is the probability of showing a 5 on
the first roll and an even number on the second roll? Your answer
is :

A
die is rolled twice. What is the probability of showing a 3 on both
rolls?

A 6-sided die rolled twice. Let E be the event "the first roll
is a 1" and F the event "the second roll is a 1".
Find the probability of showing a 1 on both rolls. Write your
answer as a reduced fraction.

A die is rolled twice. What is the probability of getting a sum
of 7 on the two rolls? Write your answer in decimal form rounded to
3 decimal places.

A die is rolled twice. What is the probability that the sum of
the faces is greater than 7, given that
(a) 2 appears on one side of the rolls
(b) first outcome was 4
(c) first outcome greater than 3

QUESTION 8
Die Question 1
A regular, i.e., six-faced and balanced, die will be rolled
twice. Let the random variable X be equal to the result of
subtracting the number obtained on the second roll from the number
obtained on the first roll.
Find P open parentheses X less or equal than 3 close
parentheses .
a.
0.8889
b.
0.8611
c.
0.9167
d.
0.8333
e.
0.8588

QUESTION 9
Die Question 2
A regular, i.e., six-faced and balanced, die will be rolled
twice. Let the random variable X be equal to the result of
subtracting the number obtained on the second roll from the number
obtained on the first roll.
Find the variance of X.
a.
2.9167
b.
5.8333
c.
8.75
d.
11.6667
e.
none of the above

Consider an experiment where a fair die is rolled repeatedly
until the first time a 3 is observed.
i) What is the sample space for this experiment? What is the
probability that the die turns up a 3 after i rolls?
ii) What is the expected number of times we roll the die?
iii) Let E be the event that the first time a 3 turns up is after
an even number of rolls. What set of outcomes belong to...

Three dice are rolled. What is the probability that number on
first die is less than the positive difference of second and third
die?

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)...

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