Question

Consider an experiment of rolling an 8 sided die a single time. Recall the events used in problem 3. Determine the probability of the following compound events occurring.

Events from problem 3:

A) A person rolls a 2

C) A person rolls at least a 2

B) A person rolls an even number

D) A person rolls a 9

Determine the probability of:

A and B

A and C

A or C

B or D

Answer #1

5. Suppose the six-sided die you are using for this
problem is not fair. It is biased so that rolling a 6
is three times more likely than any other roll. For this
problem, the experiment is rolling a six-sided die twice.
(A): What is the probability that one or both rolls are even
numbers (2, 4 or 6’s)?
(B): What is the probability that at least one of the rolls is
an even number or that the sum of...

2. Consider a ten-sided die of which the sides display the
numbers 1, 2, 3, and 4 according to this table:
side of die 1 2 3 4 5 6 7 8 9 10 number displayed 1 1 1 1 2 2 2 3 3
4
Rolling two such dice is an experiment with the sample space S =
(1,1) (1,2) (1,3) (1,4) (2,1) (2,2) (2,3) (2,4) (3,1)
(3,2) (3,3) (3,4) (4,1) (4,2) (4,3)...

Problem 6: Dice and cards
An
experiment consists of rolling a single die and selecting a card
from a standard deck. Use this information to answer the following
three questions:
1
What is the
probability of rolling an even number and selecting the ace of
hearts?
2
What is the
probability of rolling a 3 and selecting a diamond?
3
What is the
probability of selecting an even number and selecting a king?

41. A probability experiment consists of rolling a
sixteen-sided die and spinning the spinner shown at the right. The
spinner is equally likely to land on each color. Use a tree diagram
to find the probability of the given event. Then tell whether the
event can be considered unusual.Event: rolling a A spinner 15 and
the spinner landing on yellow.
The probability of the event is:___
40.
A probability experiment consists of rolling a twelve-sided die
and spinning the spinner...

2. An experiment
consists of rolling a single die one time. A teacher asked her
students to
find the probability that the die will land on an even number or
a number that is a divisor
of 6. Leona said, "It's 3/6 + 4/6 = 7/6, since three out of the
six numbers on the die are
even and there are four numbers on the die that go into six."
Discuss what is wrong with
Leona’s reasoning. (4 points)

If we are rolling a six-sided die what is the probability of
rolling a 2 or 3 on the first roll and a 2, 3, or 4 on the second
roll
a. 5/36 or 0.14
b. 6/36 or 0.17
c. 6/12 or 0.50
d. 3/36 or 0.08

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 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.

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.

You roll a six-sided die. Find the probability of each of the
following scenarios.
(a) Rolling a 6 or a number greater than 3
(b) Rolling a number less than 5 or an even number
(c) Rolling a 4 or an odd number

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