You roll two six-sided even dice. What is the probability that
you get a score of at least 11?
a. 2/11
b. 1/12
c. 1/18
d. 1/6
You toss a fair coin 3 times in a row. What is the probability
of getting at most two heads?
a. 3/4
b. 1/4
c. 3/8
d. 7/8
If you roll two six-sided dice, what is the probability of
obtaining the following outcomes?
a)2 or 3
b) 6 and 4
c) At least one 5
d) Two of the same number (two 1s, or two 2s, or two 3s,
etc.)
e) An even number on both dice
f) An even number on at least one die
1) Imagine you roll a fair 4 sided dice 4 times.
what is the number of possible outcomes as a sum of successes?
2) What is the probability you will roll 3 successes,
if the result of a 4 is considered a success?
3) what is the probability you will roll 3 or 4 successes, of the
results of a 4 is considered a success?
4) what is the probability you will roll 3 or 4
successes. of the result...
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)
suppose you roll two fair dice.
A) what is the probability that you will roll an even number on
the first die AND a 5 on the second die
B) What is the probability that the sum of the numbers on the
two dice is 9?
show all work.
Two fair dice are rolled:
a) What is the probability of an even number or a 3 on the first
die? Are these two events mutually exclusive and why?
b) What is the probability of an even number on the first die
and a 5 on the second? Is conditional probability involved in this
case? Why or why not?
Exercise 7-12: Roll a pair of fair 3-sided dice. Let F denote
the number of dots on the first die and let T denote the total
number of dots. Determine the Cov(F,T).
If I roll the six-sided dice 4times, Let N1 be the number of 2
and N2 be the number of 6
so what is the probability mass function of N1 and N2? and what
is the covariance between two random variables