In Craps once the point is set, the shooter continues to roll
the dice until either...
In Craps once the point is set, the shooter continues to roll
the dice until either the point comes up (in which case the shooter
wins) or a 7 comes up (in which case the shooter loses). At that
time, the round ends.
Suppose the point has just been set at 6. What is the
probability that the round will end in 5 rolls or fewer (not
including the come-out roll)?
Suppose the point has just been set at 4. What is the
probability that the round will end in 5 rolls or fewer (not
including the come-out roll)?
This problem concerns the dice game craps. On the first roll of two
dice, you win instantly with a sum of 7 or 11 and lose instantly
with a roll of 2,3, or 12. If you roll another sum, say 5, then you
continue to roll until you either roll a 5 again (win) or roll a 7
(lose). How do you solve for the probability of winning?
In
the game of craps, a player (known as the shooter) rolls two fair
six-sided dice. The shooter immediately loses if the sum of the
dice is 2, 3, or 12 and immediately wins if the sum of the dice is
7 or 11 on the first roll. If the sum is anything else (4, 5, 6, 8,
9, or 10), that number becomes the point and the shooter rolls
again. The shooter now wins by rolling that same point...
In the game of Craps, you roll two dice. When you bet on a
“snake eyes”, meaning a 1 on both dice, you win $30 for each $1 you
bet. Otherwise, you lose your dollar.
What is the probability of winning this bet?
What is the expected value of making this bet?
If you play this game 100 times, how much would you expect to
lose?
Roll two dice simultaneously once. Let A be the event that the
sum of the two dice is 8 and B be the event that at least one of
the dice is odd.
a) Find P(A) and P(B). Express your answer as a
FRACTION.
b) Find P(A given B) and P(B given A). Express your
answer as FRACTIONS. Are A and B independent? Explain.
c) Find P(A and B). Express your answer as a
FRACTION.
d) Find P(A or B)....
So, roll a fair 6-sided dice once, and if the result is 1,2,3,
or 4 then toss a fair coin 3 times.
If the first result is 5, 6, then toss a fair coin until two
tails show up.
Then, what is the expected value of number of heads?
PLZ help me with this!!!
THX soooooo much!
You roll two, fair (i.e., not weighted) 6-sided dice once. What
is the probability that: 3a. The sum is 11 or more? (1 Point)
3b. The sum is 7? (1 Point)
3c. The sum is 6? (1 Point)
3d. Thesumis6or8? (1Point)
3e. The sum is less than 4? (1 Point)
3f. The sum is something other than 2, 7, or 11? (2 Points)
PYTHON CODING:
“Roll” 2 dice 10,000 times keeping track of all the sums of each
set of rolls in a list. Then use your program to generate a
histogram summarizing the rolls of two dice 10,000 times.