Question

In: Statistics and Probability

If a gambler rolls two dice and gets a sum of seven, he wins $10, and...

If a gambler rolls two dice and gets a sum of seven, he wins $10, and if he gets a sum of four, he wins $25. The cost to play the game is $5.

A. Give the probability distribution of the winnings for this game.

B. What are the expected winnings for a person who plays this game?

Solutions

Expert Solution


Related Solutions

Lucas rolls a die 15 times. What is the probability that he gets 3 seven times?
Lucas rolls a die 15 times. What is the probability that he gets 3 seven times?
a pair of dice are rolled and if the sum is a 5, Derek gets a...
a pair of dice are rolled and if the sum is a 5, Derek gets a point; if the sum is a 6, Ker gets a point; if the sum is a 7, Gary gets a point. if the sum is some other value, no one gets a point. (a) if the dice are rolled until Gary gets 4 points, find the probability Derek gets exactly 2 points. (b) if the dice are rolled until Gary gets 4 points, find...
Niyat is a gambler and regularly plays several rounds of a gamble in which he wins...
Niyat is a gambler and regularly plays several rounds of a gamble in which he wins $3,000 if even number of dots face up when a fair die is rolled twice and loses $1,000 for any other outcome from the two rolls of the die. In other words, the outcome of the gamble is determined by rolling a die twice on each round of the gamble and Niyat wins only if even number of dots show up on top in...
Desta is a gambler and regularly plays several rounds of a gamble in which he wins...
Desta is a gambler and regularly plays several rounds of a gamble in which he wins $6,000 if odd number of dots face up when a fair die is rolled twice and loses $2,000 for any other outcome from the two rolls of the die. In other words, the outcome of the gamble is determined by rolling a die twice on each round of the gamble and Desta wins only if odd number of dots show up on top in...
In a dice game a player first rolls two dice. If the two numbers are l...
In a dice game a player first rolls two dice. If the two numbers are l ≤ m then he wins if the third roll n has l≤n≤m. In words if he rolls a 5 and a 2, then he wins if the third roll is 2,3,4, or 5, while if he rolls two 4’s his only chance of winning is to roll another 4. What is the probability he wins?
Bobby rolls 2 fair 6-sided dice and considers it a "success" if the sum of the...
Bobby rolls 2 fair 6-sided dice and considers it a "success" if the sum of the die results is 5 or 6. He performs 4 trials.   Martha tosses 2 fair coins and considers it a "success" if both coins land on "heads." She performs 3 trials. Heather rolls 1 fair 4-sided die and considers it a "success" if he rolls a "1." He performs 5 trials. What is the probability that exactly 2 success occur in all of the combined...
Alice rolls a pair of fair six-sided dice until a sum of 6 appears for the...
Alice rolls a pair of fair six-sided dice until a sum of 6 appears for the first time. Independently, Bob rolls two fair six-sided dice until he rolls a sum 7 for the first time. Find the probability that the number of times Alice rolls her dice is equal to or within one of the number of times Bob rolls his dice.
Four dice are tossed. Find the probability that (a) the sum is 10, (b) the sum...
Four dice are tossed. Find the probability that (a) the sum is 10, (b) the sum is 15, (c) two dice comes up 1 and two dice come up?
Throw two dice. If the sum of the two dice is 6 or more, you win...
Throw two dice. If the sum of the two dice is 6 or more, you win $43. If not, you pay me $117 . Step 2 of 2 : If you played this game 907 times how much would you expect to win or lose? Round your answer to two decimal places. Losses must be entered as negative.
Two dice are rolled together. If the sum of both dice is 6, what is the...
Two dice are rolled together. If the sum of both dice is 6, what is the probability that one will come in 2? (10 points) The average weight of product A produced in a factory is 21 and the standard deviation is 5. Calculate the probabilities P (X> 20) and P (18 <P <22). Calculate the median and standard deviation of the series below. (20 points) Classes 0-2 30 2-4 70 4-6 50 6-8 30 8-10 20 PLEASE SOLVE CORRECTLY...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT