Question
In: Statistics and Probability
Answer the following questions about probabilities regarding the toss of two dice and their resulting sum....
Answer the following questions about probabilities regarding the
toss of two dice and their resulting sum. The table below lists all
possible outcomes and will be helpful!
(a) (1 point) What’s the probability of rolling a sum that is
anything other than 7?
(b) (1 point) What’s the probability of rolling a sum of that is
greater than or equal to 8?
(c) (1 point) Given that Die 1 is a 5, what is the probability of
rolling a sum of that is greater than or equal to 8?
(d) (1 point) What’s the probability of rolling a sum that is an
odd number?
(e) (1 point) What’s the probability of rolling doubles? (Rolling
doubles means both dice show the same number.)
Solutions
orchestra answered 1 year agoRelated Solutions
For a roll with two dice, the following events are considered: A: The sum of eyes...
For a roll with two dice, the following events are
considered:
A: The sum of eyes is greater than 7.
B: Exactly one of the two numbers is a 5.
C: No 1 is rolled.
a) Calculate the probabilities
P (A), P (B), P (C), P (A ∩ B), P (A ∩ C), P (B ∩ C), P (A ∪ B), P
(A | B), P (A | C), P (C | A), P (B | C).
b) Are events...
For a roll with two dice, the following events are considered: A: The sum of eyes...
For a roll with two dice, the following events are
considered:
A: The sum of eyes is greater than 7.
B: Exactly one of the two numbers is a 5.
C: No 1 is rolled.
a) Calculate the probabilities
P (A), P (B), P (C), P (A ∩ B), P (A ∩ C), P (B ∩ C), P (A ∪ B), P
(A | B), P (A | C), P (C | A), P (B | C).
b) Are events...
Consider the experiment of rolling two dice and the following events: A: 'The sum of the...
Consider the experiment of rolling two dice and the following
events:
A: 'The sum of the dice is 8'
and B: 'The first die is an odd number' and
C: "The difference (absolute value) of the dice is
2"
Find (a) p(A and B) (HINT: You cannot
assume these are independent events.)
(b) p(A or
B)
(c) Are
A and B mutually exclusive events? Explain.
(d) Are A and B independent events?
Explain.
(e) Are B and C independent events?
Explain.
Throw two dice. If the sum of the two dice is 6 or more, you win...
Throw two dice. If the sum of the two dice is 6 or more, you win
$43. If not, you pay me $117
.
Step 2 of 2 :
If you played this game 907
times how much would you expect to win or lose? Round your
answer to two decimal places. Losses must be entered as
negative.
Two dice are rolled together. If the sum of both dice is 6, what is the...
Two
dice are rolled together. If the sum of both dice is 6, what is the
probability that one will come in 2? (10 points)
The average weight of product A produced in a factory is 21
and the standard deviation is 5. Calculate the probabilities P
(X> 20) and P (18 <P <22).
Calculate the median and standard deviation of the series
below. (20 points) Classes
0-2 30
2-4 70
4-6 50
6-8 30
8-10 20
PLEASE SOLVE CORRECTLY...
You roll two fair dice. Let A be the event that the sum of the dice...
You roll two fair dice. Let A be the event that the sum of the
dice is an even number. Let B be the event that the two results are
different.
(a) Given B has occurred, what is the probability A has also
occurred?
(b) Given A has occurred, what is the probability B has also
occurred?
(c) What is the probability of getting a sum of 9?
(d) Given that the sum of the pair of dice is 9...
Throw two dice. If the sum of the two dice is 6or more, you win $9.If...
Throw two dice. If the sum of the two dice is 6or more, you win
$9.If not, you pay me $30.
Step 1 of 2:
Find the expected value of the proposition. Round your answer to
two decimal places. Losses must be expressed as negative
values.
a. Two dice are rolled; find the probability that the sum of the two numbers is...
a. Two dice are rolled; find the probability that the sum of the
two numbers is 7.
b. If one card is drawn from a standard deck, find the
probability of getting a spade card or a Queen.
c. A couple has 3 children, find the probability that exactly
one are girls.
An experiment is rolling two fair dice and adding the spots together. Find the following probabilities;...
An experiment is rolling two fair dice and adding the spots
together. Find the following probabilities; enter all
answers as simplified fractions using the / bar between numerator
and denominator, with no extra space
Blank #1: Find the probability of getting a sum
of 3.
Blank #2: Find the probability of getting the
first die as a 4.
Blank #3: Find the probability of getting a sum
of 8.
Blank #4: Find the probability of getting a sum
of 3...
probabilities Find the probabilities for each event. Consider rolling a pair of fair dice two times....
probabilities Find the probabilities for each
event. Consider rolling a pair of fair dice two times. Let
A be the total on the up-faces for the first roll and let
B be the total on the up-faces for the second roll.
A = {2 on the first roll}, B = {8 or more on
the first roll}.
A = {2 on the first roll}, B = {8 or more on
the second roll}.
A = {5 or less on the...
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