Question

Consider the following experiment of rolling two standard, six-sided dice. Use the full sample space for rolling two standard, six-sided dice. Use the sample space to calculate the following.

Let E be the event that both face-up numbers are odd. Find P(E).

Let F be the event that the face-up numbers sum to 7. Find P(F).

Let T be the event that the sum of the face-up numbers is less than 10. Find P(T).

Answer #1

Consider the experiment of rolling two standard (six-sided) dice
and taking their sum. Assume that each die lands on each of its
faces equally often. We consider the outcomes of this experiment to
be the ordered pairs of numbers on the dice, and the events of
interest to be the different sums.
Write out the generating function F(x) for the sums of the dice,
and show how it factors into the generating functions for the
individual die rolls.
Use F(x)...

Consider the probability experiment consisting of rolling two
fair six-sided dice and adding up the result. (Recall: “fair” means
each side is equally likely.)
(a) Identify the sample space. S = { }
(b) Let W be the event that the dice roll resulted in the number
12.
Then P(W) =
(c) Classify the probability you found in the previous part
(circle one):
theoretical probability empirical probability subjective
probability
Explain your answer.
(d) Describe W0 in words (without using the...

Two six-sided dice are rolled and the sum of the roll is
taken.
a) Use a table to show the sample space.
b) Find the Probability and the Odds of each event. E: the sum
of the roll is even and greater then 6
P(E) = O(E) =
F: the sum of the roll is 7 or less that 4
P(F) = O(F) =

1. A random experiment consists of throwing a pair of dice, say
a red die and a green die, simultaneously. They are standard
6-sided dice with one to six dots on different faces. Describe the
sample space.
2. For the same experiment, let E be the event that the sum of
the numbers of spots on the two dice is an odd number. Write E as a
subset of the sample space, i.e., list the outcomes in E.
3. List...

Two regular 6-sided dice are tossed. (See the figure below for
the sample space of this experiment.)
Determine the number of elements in the sample space for tossing
two regular 6-sided dice.
n(S) =
Let E be the event that the sum of the pips on the
upward faces of the two dice is 6. Determine the number of elements
in event E.
n(E) =
Find the probability of event E. (Enter your
probability as a fraction.)

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.

Question:
Q1) An experiment consists of rolling two fair dice and
recording the outcome as an ordered pair: (#1st die, #2nd die).
a. Find the sample space S of the experiment (list each
outcome).
b. Let A be the event that the sum of the dice is 4. Find A and
P(A)
c.Let B be the event that at least one of the dice lands on 3.
Find B and P(B).
d. Find A n B and P(A n B)...

what is the probability of rolling two standard six-sided dice
and getting the sum of least 8

please answer the following questions:
*An experiment consists of rolling two dice. Find the
probability that the sum is greater than or equal to 9 or
even.
*A die is rolled. find
a- sample space for the experiment.
b- event of rolling an even number.
c- probability of rolling at least a number 3.

Two standard six-sided dice are rolled. Report all answers in
reduced form (or rounded to two decimal places if applicable). What
are the odds for rolling a sum of 7? What is the probability of
rolling a product that is odd? What are the odds against rolling a
sum less than 6?

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