for the experiment of rolling an ordinary pair of
dice, find the probability that the sum will be even or a multiple
of 6. ( you may want to use a table showing the sum for each of the
36 equally likely outcomes.)
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?
a. Two dice are rolled; find the probability that the sum of the
two numbers is 7.
b. If one card is drawn from a standard deck, find the
probability of getting a spade card or a Queen.
c. A couple has 3 children, find the probability that exactly
one are girls.
Consider a random experiment of rolling 2 dice. What is
probability of rolling a sum larger than 9? Select the best answer.
A. 0.5
B. 0.1667
C. 0.2333
D. None of the above
Two dice are rolled one after the other. Find the probability
that the sum of the dots on the dice total is a number greater than
11 if the second die is a 5.
Consider the experiment of rolling two dice and the following
events:
A: 'The sum of the dice is 8'
and B: 'The first die is an odd number' and
C: "The difference (absolute value) of the dice is
2"
Find (a) p(A and B) (HINT: You cannot
assume these are independent events.)
(b) p(A or
B)
(c) Are
A and B mutually exclusive events? Explain.
(d) Are A and B independent events?
Explain.
(e) Are B and C independent events?
Explain.
Find the probability that:
Rolling a fair die 3 times, at least two dice are less than
4.
Previous answers have suggested 0.875 (189 feasible cases/ 216
total cases). However, from simple trial and error we can see that
there are more than 27 cases where this answers fails. For example
is the first dice gets a 4 and the 2nd dice gets 4,5,6 and the last
dice gets any number, there is already 18 cases here that are not...
7. Two fair six sided dice are rolled.
(i) What is the probability that the sum of the two results is
6?
(ii) What is the probability that the larger value of the two
results is 4?
(iii) What is the probability that the both results are at most
4?
(iv) What is the probability that the number 3 appears at least
once?