In an experiment with throwing 2 fair dice, consider the events A : The sum of...
In an experiment with throwing 2 fair dice, consider the events A : The sum of numbers on the faces is 8 B : Doubles are thrown. What is the probability of getting A or B ?
Homework Answers
Answer :
Total outcomes for rolling 2 die = 36
Outcomes in event A = {(2,6) (3,5) (4,4) (5,3) (6,2) }
N(A) =5
Outcomes of event B = {(1,1) (2,2) (3,3) (4,4) (5,5) (6,6) }
A union B = { (1,1) (2,2) (3,3) (4,4) (5,5) (6,6) (2,6) (3,5) (5,3) (6,2)}
Probability of A or B = n(A union B)/36 = 10/36 = 5/18
Add Answer to:
In an experiment with throwing 2 fair dice, consider the events
A : The sum of...
Part I - Throwing a Dice with Six Faces (32 points) Consider a dice with six...
Part I - Throwing a Dice with Six Faces (32 points) Consider a dice with six faces, i.e. a standard dice. The possible outcomes after throwing the dice once are 1, 2,3, 4,5,6 (a) Assume that the dice is thrown once. Let w represents the outcome. Explain why P(w-i) for i = i..6, when the dice is fair (b) The fair dice is thrown twice. Find the probability of occurance of at least one 6 The fair dice is thrown...
3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e....
3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e. find Pr(2), Pr(3), . Pr(12) ) b) Find the probability of getting a sum of 3 or 4 (i.e.find Pr(3 or 4)) c) Find the probability we roll doubles (both dice show the same value). d) Find the probability that we roll a sum of 8 or doubles (both dice show the same value). e) Is it more likely that we get a sum...
1. A pair of fair dice is thrown, what is the probability that the sum of...
.1. A pair of fair dice is thrown, what is the probability that the sum of the two numbers is greater than 10. 2. A pair of fair dice is thrown. Find the probability that the sum is 9 or greater if a. If a 6 appears on the first die. b. If a 6 appears on at least one of the dice.
E B Prutent laut ya ne. Example 3. Suppose you are throwing two fair dice. a)...
E B Prutent laut ya ne. Example 3. Suppose you are throwing two fair dice. a) What is the probability that you will roll a sum less than four or bigger than 10? Howy beck b) What is the probability that you will roll doubles or a sum bigger than 10?
8. We roll two fair dice. (1) Given that the roll results in a sum of...
8. We roll two fair dice. (1) Given that the roll results in a sum of 6 or less, what is the conditional probability that doubles are rolled? A "double" means that two dice have the same number (2) Given that the two dice land on different numbers, what is the conditional proba- bility that at least one die roll is a 1?
2) Two fair dice are rolled. Find the following probabilities: (10pts) a) P(the sum of the...
2) Two fair dice are rolled. Find the following probabilities: (10pts) a) P(the sum of the dice is not eight) b) P(doubles are rolled) c) P(doubles are rolled given that the sum of the dice is eight)
Consider two fair, FOUR sided dice, with faces labeled 1, 2, 3, 4. Compute the probability...
Consider two fair, FOUR sided dice, with faces labeled 1, 2, 3, 4. Compute the probability of rolling a) a sum of 3 b) a sum of 6 c) a sum of 9 d) the most likely sum(s) along with its probability.
Passedix is a game of chance played with three fair dice. Players bet whether the sum...
Passedix is a game of chance played with three fair dice. Players bet whether the sum of the faces shown on the dice will be above or below ten. During the late sixteenth century, the astronomer and mathematician Galileo Galilei was asked by the Grand Duke of Tuscany to explain why “the chance of throwing a 9 with three fair dice was less than that of throwing a 10.” (Interstat, Jan. 2004) The grand duke believed that the chance should...
1. Consider the experiment of rolling a pair of dice values showing on the dice. experiment...
1. Consider the experiment of rolling a pair of dice values showing on the dice. experiment of rolling a pair of dice. Suppose we are interested in the sum of face a. How many simple events are possible? b. List the sample space. c. What is the probability of obtaining a 7? d. What is the probability of obtaining a value of 9 or more? Because each roll has six possible even values (2.4,6,8,10,12) and five possible odd values (3,5,7,9,11),...
#1) What is the probability of getting a sum 9 from two throws of a dice...
#1) What is the probability of getting a sum 9 from two throws of a dice (4 sided)? Select one: a. 1/9 b. 1/8 c. 0 d. 1/12 #2) Two 4 sided dice are thrown simultaneously. What is the probability of getting two numbers whose product is even? Select one: a. 0.75 b. 0.375 c. 0.5 d. 0.6875 #3) Two 4 sided dice are tossed. The probability that a total score is a prime number is: Select one: a. 0.58...
Part I - Throwing a Dice with Six Faces (32 points) Consider a dice with six faces, i.e. a standard dice. The possible outcomes after throwing the dice once are 1, 2,3, 4,5,6 (a) Assume that the dice is thrown once. Let w represents the outcome. Explain why P(w-i) for i = i..6, when the dice is fair (b) The fair dice is thrown twice. Find the probability of occurance of at least one 6 The fair dice is thrown...
3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e. find Pr(2), Pr(3), . Pr(12) ) b) Find the probability of getting a sum of 3 or 4 (i.e.find Pr(3 or 4)) c) Find the probability we roll doubles (both dice show the same value). d) Find the probability that we roll a sum of 8 or doubles (both dice show the same value). e) Is it more likely that we get a sum...
E B Prutent laut ya ne. Example 3. Suppose you are throwing two fair dice. a) What is the probability that you will roll a sum less than four or bigger than 10? Howy beck b) What is the probability that you will roll doubles or a sum bigger than 10?
8. We roll two fair dice. (1) Given that the roll results in a sum of 6 or less, what is the conditional probability that doubles are rolled? A "double" means that two dice have the same number (2) Given that the two dice land on different numbers, what is the conditional proba- bility that at least one die roll is a 1?
2) Two fair dice are rolled. Find the following probabilities: (10pts) a) P(the sum of the dice is not eight) b) P(doubles are rolled) c) P(doubles are rolled given that the sum of the dice is eight)
1. Consider the experiment of rolling a pair of dice values showing on the dice. experiment of rolling a pair of dice. Suppose we are interested in the sum of face a. How many simple events are possible? b. List the sample space. c. What is the probability of obtaining a 7? d. What is the probability of obtaining a value of 9 or more? Because each roll has six possible even values (2.4,6,8,10,12) and five possible odd values (3,5,7,9,11),...
Most questions answered within 3 hours.
-
A university administrator working in student housing wants to
determine if the percentage of students residing...
asked 5 minutes ago -
3). Describe human population growth that has occurred in the
past 400 years. Use terms learned...
asked 2 minutes ago -
A
projectile is blue at a target. The distance from the point of
impact to the...
asked 27 minutes ago -
Given a 32 bit processor, with 2 MB of physical RAM split into 512
frames. What...
asked 17 minutes ago -
What were the main rulings in the Supreme Court cases which are
Morgan v. Virginia (1946)...
asked 16 minutes ago -
write a five paragraph essay on how setting,
specifically culture, influences the actions of
the characters...
asked 8 minutes ago -
JAVA
Provide a simple code sample of Merge sort
asked 19 minutes ago -
Discounting cash flows involves:
A. taking the cash discount offered on a trade merchandise
B. estimating...
asked 26 minutes ago -
A solid wood door 1.00 m wide and 2.00 m high is hinged along
one side...
asked 26 minutes ago -
Raleigh Company manufactures two joint products. At the
split-off point, they have sales values of:
Product...
asked 25 minutes ago -
1. Your grandmother has invested $4000 in a mutual fund each
year on your birthday (she...
asked 28 minutes ago -
HELP WITH SAS
Run the following DATA step to create a SAS data set called
ABC_CORP....
asked 40 minutes ago