Roll 6-sided dice. If “1, 2 or 3” occurs in the first roll, flip a coin....

Question

Question

Roll 6-sided dice. If “1, 2 or 3” occurs in the first roll, flip a coin....

Roll 6-sided dice. If “1, 2 or 3” occurs in the first roll, flip a coin. If “4, 5 or 6” occurs, roll 6-sided dice again.

What is the sample space of this experiment, Show with the tree diagram technique. How many sample points are in the sample space? What is the probability that flips results in a head?

math Statistics-And-Probability

Add a comment Improve this question Transcribed image text

Answer 1

Answer #1

The tree for this experiment is given by:

Sample space: {(1,H),(1,T),(2,H),(2,T),(3,H),(3,T),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

So, number of points in the sample space = 24

Now, P(flips result in head) = P(1,H) + P(2,H) + P(3,H)

Add a comment

Answer 2

Similar Homework Help Questions

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 flip a fair coin. On heads, you roll two six-sided dice. On tails, you roll...

You flip a fair coin. On heads, you roll two six-sided dice. On tails, you roll one six-sided dice. What is the chance that you roll a 4? (If you rolled two dice, rolling a 4 means the sum of the dice is 4) O 1 2 3 36 1 2 1 6 + + 1 4 36 1 6 2 2 1 36 + -10 2 . 4 36 + 4 6 2 2
Consider the setting where you first roll a fair 6-sided die, and then you flip a...

Consider the setting where you first roll a fair 6-sided die, and then you flip a fair coin the number of times shown by the die. Let D refer to the outcome of the die roll (i.e., number of coin flips) and let H refer to the number of heads observed after D coin flips. (a) Suppose the outcome of rolling the fair 6-sided die is d. Determine E[H|d] and Var(H|d). (b) Determine E[H] and Var(H).

If I flip a coin and roll a six sided die simultaneously, the SAMPLE SPACE of...

If I flip a coin and roll a six sided die simultaneously, the SAMPLE SPACE of this experiment holds ________ possible unique outcomes. A.36 B.24 C.12 D.8
1. Consider the experiment: You flip a coin once and roll a six-sided die once. Let...

1. Consider the experiment: You flip a coin once and roll a six-sided die once. Let A be the event that you roll an even number and B be the event that you flip heads. (a) Determine the sample space S for this experiment. (Hint: There are 12 elements of the sample space.) (b) Which outcomes are in A? (c) Which outcomes are in B? (d) Which outcomes are in A'? What does it mean in words? (e) Which outcomes...
3. Consider a coin-die experiment: One flips a fair coin at first. If he gets a...

3. Consider a coin-die experiment: One flips a fair coin at first. If he gets a head, then he will roll a 6-sided fair die; otherwise, he will roll a 6-sided unfair die, which has probability to get i faces up (i = i, . . . , 6). If one gets a 2 faces up, what is the probability that he got a tail when he flipped the coin? 2.1

4. You roll a fair six-sided dice twice and record the results, in order. The sample...

4. You roll a fair six-sided dice twice and record the results, in order. The sample space is 2,6 6,6) (a) How many possible outcomes are there? (b) What is the probability that the total (sum) of the results is equal to 10? (c) Given that the total is equal to 10, what is the probability that the first roll was a 4? (d) Given that the first roll was not a 4, what is the probability that the total...
You roll a 6-sided die. What is the probability that you will roll either a 3 or a 2? P (3 or 2) = You flip a 2-sided co...

You roll a 6-sided die. What is the probability that you will roll either a 3 or a 2? P (3 or 2) = You flip a 2-sided coin. What is the probability that you will get either heads or tails? P (heads or tails) =
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...

Exercise 10.17. We flip a fair coin. If it is heads we roll 3 dice. If...

Exercise 10.17. We flip a fair coin. If it is heads we roll 3 dice. If it is tails we roll 5 dice. Let X denote the number of sixes among the rolled dice. (a) Find the probability mass function of X. (b) Find the expected value of X.

Roll 6-sided dice. If “1, 2 or 3” occurs in the first roll, flip a coin....

Homework Answers

Add Answer to:
Roll 6-sided dice. If “1, 2 or 3” occurs in the first roll, flip a coin....

Post as a guest

Earn Coins

Problem 2. a. You flip a coin and roll a die. Describe the sample space of...

You flip a fair coin. On heads, you roll two six-sided dice. On tails, you roll...

Consider the setting where you first roll a fair 6-sided die, and then you flip a...

If I flip a coin and roll a six sided die simultaneously, the SAMPLE SPACE of...

1. Consider the experiment: You flip a coin once and roll a six-sided die once. Let...

3. Consider a coin-die experiment: One flips a fair coin at first. If he gets a...

4. You roll a fair six-sided dice twice and record the results, in order. The sample...

You roll a 6-sided die. What is the probability that you will roll either a 3 or a 2? P (3 or 2) = You flip a 2-sided co...

3) We roll 2 fair dice. a) Find the probabilities of getting each possible sum (i.e....

Exercise 10.17. We flip a fair coin. If it is heads we roll 3 dice. If...

Roll 6-sided dice. If “1, 2 or 3” occurs in the first roll, flip a coin....

Homework Answers

Add Answer to: Roll 6-sided dice. If “1, 2 or 3” occurs in the first roll, flip a coin....

Post as a guest

Earn Coins

Add Answer to:
Roll 6-sided dice. If “1, 2 or 3” occurs in the first roll, flip a coin....