Suppose a 6-sided die and a 7-sided die are rolled. What is the
probability of getting...
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.
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...
An unbiased die is rolled 5 times, what is the probability
of:
A: Getting exaclty two 5's in 5 tosses?
B: Getting AT LEAST two 3's in 5 tosses?
C: Getting AT MOST one 4 in 5 tosses?
Two 6-sided dice are rolled. One die is a standard die, and the
other is a Fibonacci die with sides 1, 1, 2, 3, 5, and 8.
a. What is the probability distribution of this experiment?
b. What is the shape of the probability distribution?
c. What is the expected value when these 2 dice are rolled?
Two coins are tossed and a (6-sided) die is rolled. Describe a
sample space(probability space), together with the probability, on
which such a situation can be modeled. Find the probability mass
function of the random variable whose value is the sum of the
number on the die and the total number of heads.
If one dice is rolled (die 1, die 2), find the probability of
getting sum less than 11?
a. What is the probability experiment? Rolling a dice (die 1,
die 2)
b. What is the event(s)? sum greater than 11
c. What technique can I use to solve this problem? Select an
answer
d. How do you know you can use that technique? Select an
answer
f. Find the probability of rolling a sum that is sum less than
11....
A fair six-sided die is rolled repeatedly until the third time a
6 is rolled. Let X denote the number of rolls required until the
third 6 is rolled. Find the probability that fewer than 5 rolls
will be required to roll a 6 three times.