What is the probability that if a pair of dice is rolled
eighteen times, exactly three sums of seven are rolled? (Round your
answer to four decimal places.)
Two fair dice are rolled. What is the probability of…
a)Rolling a total of 8?
b) Rolling a total greater than 5?
c)Rolling doubles?
d)Rolling a sum of 6 or a sum of 8?
e)Rolling a sum of 4 or doubles?
f)Rolling a sum of 4 and doubles?
g)Rolling a sum of 2, 4 times in a row?
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?
A pair of dice are rolled 1,000 times with the following
frequencies of outcomes:
Sum
2
3
4
5
6
7
8
9
10
11
12
Frequency
10
30
50
70
110
150
170
140
120
80
70
Use these frequencies to calculate the approximate empirical
probabilities and odds for the events a. The sum is less than 3 or
greater than 9.
b. The sum is even or exactly divisible by...
Five fair die are rolled. What is the probability of at most two
of the dice coming up a one or a six?
Your workings should show the use of appropriate laws and
formulae — do not provide a purely arithmetic answer.
Q1. Two fair dice are rolled. What is the probability
of…
a) Rolling a sum
of 4 or doubles?
b) Rolling a sum of 4 and doubles
c) Rolling a sum
of 2, 4 times in a row?
Q2. True or False. A discrete sample space is one in
which outcomes are counted
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?
Find the probability that the sum is as stated when a pair of
dice is rolled. (Enter your answers as fractions.) (a) odd and less
than 5 (b) odd or less than 5
Find the probability that the sum is as stated when a pair of
dice is rolled. (Enter your answers as fractions.) (a) odd and
doubles (b) odd or doubles