Question

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.)

Answer #1

Two regular six-sided dice are tossed. Compute the probability
that the sum of the pips on the upward faces of the two dice is the
following. (See the figure below for the sample space of this
experiment. Enter the probability as a fraction.)
At most 4

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).

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...

A game has two four-sided dice having the numbers 9, 6, 3,
and 2 on their faces. Outcomes in the sample space are pairs such
as (9,6)and (2,2).
a.
How many elements are in the sample space?
b.
Express the event "the total showing is even" as a set.
c.
What is the probability that the total showing is even?
d.
What is the probability that the total showing is greater than
13?

An experiment consists of rolling two 6-sided dice. Find the
probability that the sum of the dice is at most 5. Write your
answer as a simplified fraction, i.e. a/b

A experiment consists of rolling two 6-sided dice and observing
the sum of the upper faces.
1.) determine the random variable, X.
2.) What values can X take on?
3.) how many possible outcomes are there for this experiment
?
D.) Create a probability distribution for X.

Consider the experiment in which two six-sided dice are tossed.
What is the probability that the total is not four?

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) =

For the following questions, find the
probability using a standard 6-sided die or two 6-sided dice. Write
your answer as a fraction or with a colon in lowest terms.
Rolling a single die, what is the probability of rolling an
even number?
Rolling a single die, what is the probability of rolling a
5?
Rolling a single die, what is the probability of rolling a
7?
Rolling a single die, what is the probability of rolling a
number less than...

1) An experiment consists
of throwing two six-sided dice and observing the number of spots on
the upper faces. Determine the probability that
a.
the sum of the spots is 3.
b.
each die shows four or more spots.
c.
the sum of the spots is not 3.
d.
neither a one nor a six appear on each die.
e.
a pair of sixes appear.
f.
the sum of the spots is 7.

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