Given this, what is the probability of rolling: one 2, two 3s, five 4s, one 5, and two 6s with 11 fair dice?
Given this, what is the probability of rolling: one 2, two 3s, five 4s, one 5,...
A fair D10 die is rolled 100 times. What is the probability of rolling five 1s, fifteen 2s, eight 3s, twelve 4s, thirteen 5s, seven 6s, fourteen 7s, six 8s, nine 9s, and eleven 10s? For the D10 die, what is the probability of rolling that value of chi square or less? xmin xmax O 1100 1400 1 1400 1700 0 1700 2000 5 2000 2300 6 2300 2600 9 2600 2900 24 2900 3200 23 3200 3500 15 3500...
23. Calculate the probability of getting exactly two sixes and one five when rolling five dice. Do this in two different ways, as follows. (a) First calculate the probability that two of the five dice land sixes, and then multiply this by the probability that one of the remaining three lands a five. (note: The remaining three dice have only five ways in which they can land.) (b) Next calculate the probability that one of the five dice lands a...
What is the probability of rolling something other than double 4s using two six-sided dice? Round your answer to three decimal places.
Problem 2. (30 points) a) (5 points) In rolling 3 fair dice, what is the probability of obtaining a sum not greater than 77 b) (5 points) In rolling 2 fair dice, what is the probability of a sum greater than 3 but not exceeding 6? o) (5 points) Given that the frstroll was an odd number what is the probability that sum exceeds 6? The notation for this is P(A I B)- Probability(sum exceeds 6 given that the first...
If two six sided dice are rolled, what is the probability of rolling a 5 on at least one of the dice? a) I/36 b) 10/36 c) 12/36 d) 11/36
Assume you roll two 4-sided dice numbered discretely from one to four. What is the probability of rolling a total of five? Show work
2. "Craps" is a game played by rolling two fair dice. To play one round of this game, the player rolls the dice and the outcome is determined by the following rules: If the total number of dots is 7 or 11 (a "natural"), then the player wins. If the total number of dots is 2, 3, or 12 C'craps"), then the player loses. If the total number of dots is 4, 5, 6,8,9, or 10, then this number is...
Imagine rolling two fair 6 sided dice. What is the probability the sum of the rolls is 10?
7. Rolling Two Dice If two dice are rolled one time, find the probability of getting these results. a. A sum of 10 b. A sum of 6 or 11 c. Doubles and sum less than 6
2. A game of chance costs $5 to play and consists of rolling a five fair dice. If at least four of the dice shows a number (strictly) greater than 2 then the player wins $10. (a) What is the expected net winnings from one game? (b) Suppose that a gambler plans to keep playing this game until he has lost a total of four games, what is his expected net loss or net winnings under this strategy?