PLEASE ANSWER THE ENTIRE QUESTION BELOW (BOTH PARTS). THANK YOU:
Suppose that you are playing a game that requires you to roll two standard tetrahedral (4-sided) dice and add the numbers that appear. Explain why you will get the same distribution of outcomes (and so can still play the game) by instead flipping a coin with sides labeled 1 and 3, then rolling an octahedral (8-sided) die with labels 1, 2, 2, 3, 3, 4, 4, 5, and then adding the outcomes.
For a bonus point, find a different way to play a game that involves rolling three tetrahedral dice and then adding
PLEASE ANSWER THE ENTIRE QUESTION BELOW (BOTH PARTS). THANK YOU: Suppose that you are playing a...
Please answer all parts to this 4 part question Suppose you have a six sided die. One face is printed with the number 1. Two faces are printed with the number 2. Three faces are printed with the number 3. You also have 3 coins: C_1, C_2, and C_3. C_1 will land Heads with probability 1/5. C_2 will land Heads with probability 1/3. C_3 will land Heads with probability 1/2. You roll the die. If the die lands with a...
(1 point) You're playing Dungeons and Dragons. Each round, you make an attack. If the attack hits, you deal a certain amount of damage (otherwise, you deal zero damage for that round) First, you roll a twenty-sided die to see you hit. (Assume the die is fair etc.) If you roll 11 or greater, you make a hit, then roll two six-sided dice; the damage you deal is the sum of these dice. What is the expected value of the...
(1 point) A game of chance involves rolling an unevenly balanced 4-sided die. The probability that a roll comes up 1 is 0.21, the probability that a roll comes up 1 or 2 is 0.44, and the probability that a roll comes up 2 or 3 is 0.55 . If you win the amount that appears on the die, what is your expected winnings? (Note that the die has 4 sides.)
1. (a) What is the sample space S for flipping a coin until you get a head or 4 consecutive tails? Write down your sample space by listing the elements. (b) An experiment involves tossing a pair of dice, one green and one red, recording the numbers that come up. These are special dice. Each die has only 5 sides and are labeled with the numbers 1, 2, 3, 4, 5. Let r be the outcome on the green die...
Suppose you have a six sided die. One face is printed with the number 1. Two faces are printed with the number 2. Three faces are printed with the number 3. You also have 3 coins: C_1, C_2, and C_3. C_1 will land Heads with probability 1/5. C_2 will land Heads with probability 1/3. C_3 will land Heads with probability 1/2. You roll the die. If the die lands with a 1 face up, flip coin C_1 If the die lands with...
Suppose you have a six sided die. One face is printed with the number 1. Two faces are printed with the number 2. Three faces are printed with the number 3. You also have 3 coins: C_1, C_2, and C_3. C_1 will land Heads with probability 1/3. C_2 will land Heads with probability 1/5. C_3 will land Heads with probability 1/4. You roll the die. If the die lands with a 1 face up, flip coin C_1 If the die...
Can someone help me in number 1, 2 and 3? Thank you 1. (a) What is the sample space S for flipping a coin until you get a head or 4 consecutive tails? Write down your sample space by listing the elements. (b) An experiment involves tossing a pair of dice, one green and one red, recording the numbers that come up. These are special dice. Each die has only 5 sides and are labeled with the numbers 1, 2,...
Suppose you have a six sided die. One face is printed with the number 1. Two faces are printed with the number 2. Three faces are printed with the number 3. You also have 3 coins: C_1, C_2, and C_3. C_1 will land Heads with probability 1/5. C_2 will land Heads with probability 1/3. C_3 will land Heads with probability 1/2. You roll the die. If the die lands with a 1 face up, flip coin C_1 If the die...
Suppose you have a six sided die. One face is printed with the number 1. Two faces are printed with the number 2. Three faces are printed with the number 3. You also have 3 coins: C_1, C_2, and C_3. C_1 will land Heads with probability 1/5. C_2 will land Heads with probability 1/3. C_3 will land Heads with probability 1/2. You roll the die. If the die lands with a 1 face up, flip coin C_1 If the die...
Question 3 3 pts Matching problem [Choose] You roll a fair six-sided die 500 times and observe a 3 on 90 of the 500 rolls. You estimate the probability of rolling a 3 to be 0.18 Choose) You roll a fair six-sided die 10 times and observe a 3 on all 10 rolls. You bet the probability of rolling a 3 on the next rollis close to O since you have already had 10 3's in a row You assign...