Please answer the questions clearly 1. Roll a pair of dice, one red and one green....

Question

Question

Please answer the questions clearly

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

PS: If any image is not visible then right click on the image and select open image in new tab option.

Sample Space

Total 36 Outcomes

1 23456123456-23456123456-23456123456

b)

Event A: Total Combinations: 18+9 = 27

123456123456123456246246246 222222444444666666111333555

Event B: Possible Combinations: 6

Red Green Sum 4 4

Event C: Possible Combinations: 11

Red Green 1 1 1 1 2 4 1 2 4

d)

Probability = Favourable Outcomes/Total Outcomes

P(A) = 27/36 = 0.75

P(B) = 6/36 = 0.16667

P(C) = 11/36 = 0.3056

e)

No A and C events are not independent as there are some elements common to both the events.

Independent Events do not have any elements common.

g)

P(A) > P(B)

Add a comment

Answer 2

Similar Homework Help Questions

1. Roll a pair of dice, one red and one green. Now, define the following events:...

1. Roll a pair of dice, one red and one green. Now, define the following events: A is the event that at least one of the dice will be an even number B is the event that the sum of the die will be equal to 7; C is the event that at least one of the dice is equal to 1 (a) Draw a picture of the sample space. (b) List all the outcomes for each of the events...
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),...
You roll a pair of fair 6-sided dice: a red die and a blue die. (a)...

You roll a pair of fair 6-sided dice: a red die and a blue die. (a) Consider event A: {the outcome of the red die is more than 3} and event B: {the outcome of the red die is less than 5}. Given that event A occurs, what is the probability that event B occurs? (b) Are A and B mutually exclusive (i.e., disjoint)? (c) Are A and B independent? (d) Calculate the probability of event C: {the outcome of...

You roll a pair of fair 6-sided dice: a red die and a blue die. (a)...

You roll a pair of fair 6-sided dice: a red die and a blue die. (a) Consider event A: {the outcome of the red die is more than 3} and event B: {the outcome of the red die is less than 5}. Given that event A occurs, what is the probability that event B occurs? (b) Are A and B mutually exclusive (i.e., disjoint)? (c) Are A and B independent? (d) Calculate the probability of event C: {the outcome of...
1. You roll a pair of standard dice. Create the sample space for a single roll...

1. You roll a pair of standard dice. Create the sample space for a single roll of the dice and use the sample space to compute the following probabilities. A. Create a sample space. B. P ( getting a 1 on the first die or getting a 5 on the second die) C. P (Sum of the dice = 10) D. P ( getting a 3 on the second die given that you got a 2 on the first die)...
Two six-sided dice, one red and the other green, are repeatedly tossed. The result for each...

Two six-sided dice, one red and the other green, are repeatedly tossed. The result for each toss is determined as: 10×red number + green number. a) What is the outcome space for the experiment? b) Give specific examples of disjoint and independent events involving the two dice. c) For a given throw, what is the probability of getting an odd number?

Problem 5, 10 points Roll three (6-sided) dice. Use inclusion-exclusion to find the probability that at...

Problem 5, 10 points Roll three (6-sided) dice. Use inclusion-exclusion to find the probability that at least one value of "2" appears. Hint: Consider A, to be the event that the ith dice shows a "2" for i 1,2,3. We want to find P(A1 UA2U A3) using PI.E. for 3 events. You can assume that each dice is fair, that is, P(A) 1/6, P(Ai n A) 1/6x 1/6-1/36 and P(An A2nA3) (1/6)3 1/216. For an easier solution, consider the complement...
Two standard dice are rolled, one red, one green. Let A be the event that the...

Two standard dice are rolled, one red, one green. Let A be the event that the red die is a either a 4 or a 6, let B be the event that the sum of the dice is grenter than 5 a. Find P(A) c. Find P(A | B) e. Find P(An B) . Find P(A'I B) 10. b. Find P(B) d. Find P(B | A) f. Find P(AnB') h Find P(A'UB) Are events A and B dependent or independent?...
A pair of fair dice is tossed. Events A and B are defined as follows. A:...

A pair of fair dice is tossed. Events A and B are defined as follows. A: The sum of the numbers on the dice is 5 B: At least one of the numbers 2 (a) Identify the sample points in the event P(A B). (b) Identify the sample points in the event P(A B). (c) Find P(A B). (d) Find P(A B). (e) Are A and B independent events? We were unable to transcribe this imageWe were unable to transcribe...

Suppose two dice (one red, one green) are rolled

Suppose two dice (one red, one green) are rolled. Consider the following events.A: the red die shows 5.B: the numbers add to 4.C: at least one of the numbers is 3.D: the numbers do not add to 10.Express the event "The numbers do not add to 4." in symbols.1B D D' B' B' ∪ DHow many elements does it contain?2

Please answer the questions clearly 1. Roll a pair of dice, one red and one green....

Homework Answers

Add Answer to:
Please answer the questions clearly 1. Roll a pair of dice, one red and one green....

Post as a guest

Earn Coins

1. Roll a pair of dice, one red and one green. Now, define the following events:...

1. Consider the experiment of rolling a pair of dice values showing on the dice. experiment...

You roll a pair of fair 6-sided dice: a red die and a blue die. (a)...

You roll a pair of fair 6-sided dice: a red die and a blue die. (a)...

1. You roll a pair of standard dice. Create the sample space for a single roll...

Two six-sided dice, one red and the other green, are repeatedly tossed. The result for each...

Problem 5, 10 points Roll three (6-sided) dice. Use inclusion-exclusion to find the probability that at...

Two standard dice are rolled, one red, one green. Let A be the event that the...

A pair of fair dice is tossed. Events A and B are defined as follows. A:...

Suppose two dice (one red, one green) are rolled

Please answer the questions clearly 1. Roll a pair of dice, one red and one green....

Homework Answers

Add Answer to: Please answer the questions clearly 1. Roll a pair of dice, one red and one green....

Post as a guest

Earn Coins

Add Answer to:
Please answer the questions clearly 1. Roll a pair of dice, one red and one green....