If you bet $1 that you can roll a 6 on a regular six-sided die and the house bets $4 that you cannot, what is your expected winnings?
here as we know that expected winning s = expected winning on rolling a 6 -expected lose on not rolling
=4*(1/6)-1*(5/6)= $ -0.17
If you bet $1 that you can roll a 6 on a regular six-sided die and...
Consider a game where you roll a six-sided die and a four-sided die, then you subtract the number on the four-sided die from the number on the six-sided die. If the number is positive, you receive that much money (in dollars). If the number is negative, you pay that much money (in dollars). For example, you might roll a 5 on the six-sided die and a 2 on the four-sided die, in which case you would win $3. You might...
You roll a 6-sided die. The die has one to six spots on each side, with each count (1, 2, 3, 4, 5, or 6) appearing once. The die is fair: each side has an equal chance that it will be up when the die lands. What is the probability that you will roll a value greater than or equal to 2? Express your answer in decimal form to 3 decimal places.
Suppose I asked you to roll a fair six-sided die 6 times. You have already rolled the die for 5 times and six has not appeared ones. Assuming die rolls are independent, what is the probability that you would get a six in the next roll? 1/6 1/2 5/6 0 1
You are playing a gambling game with a 12-sided die. If you roll an odd number, then you lose $6. If you roll an even number, then you win that amount in dollars (i.e., you roll a 2, you win $2, etc). What is the Expected average winnings/losings of this game? x = die roll P(x) Payoff(x) P(x)*Payoff(x) 1 2 3 4 5 6 7 8 9 10 11 12 E =
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...
Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you win $12. If you roll a 4 or 5, you win $1. Otherwise, you pay $2. a. Complete the PDF Table. List the X values, where X is the profit, from smallest to largest. Round to 4 decimal places where appropriate. Probability Distribution Table х P(X) b. Find the expected profit. $ (Round to the nearest cent)
Suppose you are rolling a fair four-sided die and a fair six-sided die and you are counting the number of ones that come up. What is the probability that both die roll ones? What is the probability that exactly one die rolls a one? What is the probability that neither die rolls a one? What is the expected number of ones? If you did this 1000 times, approximately how many times would you expect that exactly one die would roll...
what is the probability of rolling a 2,3, or 6 on a regular six sided die?
You roll a fair six-sided die 5 times. What is the probability that EXACTLY one of the rolls lands on 1 (round your answer to 2 decimal places)? 10 4/8
Step 1. You roll a six-sided die. Let X be the (random) number that you obtain. Step 2. You roll X six-sided dice. Let Y be the total number (sum) that you obtain from these X dice. Find E[Y], rounded to nearest .XX.