Consider the following experiment of rolling two standard,
six-sided dice. Use the full sample space for...
Consider the following experiment of rolling two standard,
six-sided dice. Use the full sample space for rolling two standard,
six-sided dice. Use the sample space to calculate the
following.
Let E be the event that both face-up numbers are odd. Find
P(E).
Let F be the event that the face-up numbers sum to 7. Find
P(F).
Let T be the event that the sum of the face-up numbers is less
than 10. Find P(T).
Craps is a dice game in which the players make wagers on the
outcome of the...
Craps is a dice game in which the players make wagers on the
outcome of the roll, or a series of rolls, of a pair of dice. Most
outcomes depend on the sum of the up faces of two, fair, six-sided
dice.
A) Describe the sample space for all possible outcomes of
rolling two dice. How many ways are there to roll a 5?
b)Determine all possible random variable values
and the probability of those outcomes. Find the probability of...
When we roll a pair of dice, what are the probabilities of
getting: (Hint: Determine the...
When we roll a pair of dice, what are the probabilities of
getting: (Hint: Determine the sample space: how many possible
outcomes can you have when rolling two dice?)
a.) 9
b.) 11
c.) 9 or 11
d.) 7
e.) 9 or 7
f.) 9,11, or 7
1. Two dice are rolled. There are 36 possible outcomes, the
sample space is:
(1,1) (1,2)...
1. Two dice are rolled. There are 36 possible outcomes, the
sample space is:
(1,1) (1,2) (1,3) (1,4) (1,5) (1,6) (2,1) (2,2) (2,3) (2,4)
(2,5) (2,6) (3,1) (3,2) (3,3) (3,4) (3,5) (3,6) (4,1) (4,2) (4,3)
(4,4) (4,5) (4,6) (5,1) (5,2) (5,3) (5,4) (5,5) (5,6) (6,1) (6,2)
(6,3) (6,4) (6,5) (6,6)
A = ‘second roll is a 6’
B = ‘sum of two dice equals 7’
C = ‘sum of two dice equals 3’
a. What is P(B|A)?
b. What is...