A regular six-sided die and a regular eight-sided die are rolled
to find the sum. Determine the probability distribution for the sum
of the two dice. Create a frequency histogram for the probability
distribution and determine the expected sum of the two dice.
17#13
Suppose we roll a fair six-sided die and sum the values obtained
on each roll, stopping once our sum exceeds 289. Approximate the
probability that at least 76 rolls are needed to get this sum.
Suppose a red six-sided die, a blue six-sided die, and a yellow
six-sided die are rolled. Let
- X1 be the random variable which is 1 if the numbers rolled on
the blue die and the yellow die are the same and 0 otherwise;
- X2 be the random variable which is 1 if the numbers rolled on
the red die and the yellow die are the same and 0 otherwise;
- X3 be the random variable which is 1...
Suppose a 6-sided die and a 7-sided die are rolled. What is the
probability of getting sum less than or equal to 5 for the first
time on the 4th roll? Show your work to receive credit.
Rolling a Die If a die is rolled one time, find these
probabilities: a. Getting a 7 b. Getting an odd number c. Getting a
number less than 7 d. Getting a prime number (2, 3, or 5)
4.Rolling a Die If a die is rolled one time, find these
probabilities: a. Getting a number greater than 0. b. Getting a
number greater than or equal to 3 c. Getting a number greater than
2 and an even number d....
I
have 2 10-sided die and I roll them both. If the sum of the die is
greater than a target value (not less than or equal to) you make
the difference in dollars. The target value is 14. Using all the
money I make from this game, I also buy a race track. I bought 25
of the nicest horses. I have a 5 lane race track as well. Let A be
the amount of money (in cents) you...
A six sided die is rolled 4 times. The number of 2's rolled is
counted as a success.
Construct a probability distribution for the random
variable.
# of 2's
P(X)
Would this be considered a binomial random variable?
What is the probability that you will roll a
die 4 times and get a 2 only once?
d) Is it unusual to get no 2s when rolling a die 4 times? Why or
why not? Use probabilities to explain.
A six sided die is rolled 4 times. The number of 2's rolled is
counted as a success.
Construct a probability distribution for the random
variable.
# of 2's
P(X)
Would this be considered a binomial random variable?
What is the probability that you will roll a
die 4 times and get a 2 only once?
d Is it unusual to get no 2s when
rolling a die 4 times? Why or why not? Use probabilities to
explain.
You roll one blue 6-sided die, and one red 4-sided die. Let A be
the event that the outcome of the red die is twice the outcome on
the blue die Let B be the event that the outcome of the blue die is
greater than the outcome on the red die Let C be the event that the
sum of the two dice is a prime number. a) Find P(B) and P(C) by
clearly listing all outcomes in B...
24.Rolling Die Two dice are
rolled. Find the probability of getting
a.A sum of 8, 9, or 10
b.Doubles or a sum of 7
c.A sum greater than 9 or less than 4
d.Based on the answers to a, b, and
c, which is least likely to occur?