5. You roll a red die and a blue die. How many simple events (or outcomes)...

Question

Question

5. You roll a red die and a blue die. How many simple events (or outcomes) are there in the sample space?

Answer 1

Answer #1

When we roll a die, the number of possible outcomes = { 1 , 2 , 3 , 4 , 5 , 6} = 6

When we roll two dies, then the number of possible out comes = 6 * 6 = 36

Here,

a red die and a blue die are rolled,

Then the outcomes in the sample space = 36

***please ask if you have any doubts.Happy to help you.Thank you.Please Like.

Answer 2

Similar Homework Help Questions

You roll two dice, one is red and one is blue. a.) Are the outcomes independent?...

You roll two dice, one is red and one is blue. a.) Are the outcomes independent? Why or why not? b.) Find P (2 on red die). c.) Find P (4 on blue die). d.) Find P (2 on red die and 4 on blue die) e.) Find P (3 on red die and 6 on blue die) f.) Find P (2 on red die and 4 on blue die) or (3 on red die and 6 on blue die).
Question 5: You are given a fair red die and a fair blue die, and roll...

Question 5: You are given a fair red die and a fair blue die, and roll both dice uniformly at random and independently of each other. Define the events A = “the sum of the results is at least 9”, B = “at least one of the two rolls results in a 2”, C = “at least one of the two rolls results in a 5”. • Determine Pr(A), Pr(B), and Pr(C). • Determine Pr(B | C). • Are the...
Problem 2. a. You flip a coin and roll a die. Describe the sample space of...

Problem 2. a. You flip a coin and roll a die. Describe the sample space of this experi ment b. Each of the 10 people flips a coin and rolls a die. Describe the sample space of this c. In the erperiment of part b. how many outcomes are in the event where nobody rolled d. Find the probability of the events in part c. What assumptions have you made? experiment. How many elements are in the sample space? a...

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...
2. Roll two fair dice. (a) How many possible outcomes are there? (b) What probability would...

2. Roll two fair dice. (a) How many possible outcomes are there? (b) What probability would be assigned to each of the outcomes in the sample space? (c) List all possible outcomes. Use the notation (# on face on first die, # on face on second die), to indicate the result of a roll of the dice. (3.2.4)

The following dice game is offered to you. You may simultaneously roll one red die and...

The following dice game is offered to you. You may simultaneously roll one red die and three blue dice. The stake is $1. If none of the blue dice matches the red die, you lose your stake; otherwise, you get anyway paid k + 1 dollars if exactly k of the blue dice match the red die. In the case that exactly one blue die matches the red die, you get paid an additional $0.50 if the other two blue...
You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independ...

You roll two fair dice, one green and one red. (a) Are the outcomes on the dice independent? Yes No (b) Find P(5 on green die and 3 on red die). (Enter your answer as a fraction.) 2 (c) Find P(3 on green die and 5 on red die). (Enter your answer as a fraction.) 3 (d) Find P((5 on green die and 3 on red die) or (3 on green die and 5 on red die)). (Enter your answer...
Consider a die with 2 red sides, 2 green sides, and 2 blue sides. Roll the...

Consider a die with 2 red sides, 2 green sides, and 2 blue sides. Roll the die 5 times, and let X denote the number of times that the die has a red result. Flip a coin 5 times, and let Y denote the number of times that the coin shows “heads." a. Find E(X?Y). b. Find Var?(X?Y).

We roll a green die and a red die. Let A be the event that the...

We roll a green die and a red die. Let A be the event that the sum of the numbers shown is 7 and let B be the event that both dice show odd numbers. Are events A and B independent? Show your work. Thank you :)