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.
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
1.
Suppose you perform an experiment that consists of rolling two
dice and
recording their sum.
a. What is the sample space of this experiment?
b. Find the probability that the sum is either even or more than
9.
c. Find the probability that the sum is odd and a multiple of
3.
d. Find the expected sum.
2.
When Fernando took MAT 257 last semester, he got the same exact
score, 85%, in both Test 1 and Test 2....
Throw two dice. If the sum of the two dice is 6 or more, you win
$43. If not, you pay me $117
.
Step 2 of 2 :
If you played this game 907
times how much would you expect to win or lose? Round your
answer to two decimal places. Losses must be entered as
negative.
You roll two fair dice. Let A be the event that the sum of the
dice is an even number. Let B be the event that the two results are
different.
(a) Given B has occurred, what is the probability A has also
occurred?
(b) Given A has occurred, what is the probability B has also
occurred?
(c) What is the probability of getting a sum of 9?
(d) Given that the sum of the pair of dice is 9...
This problem concerns the dice game craps. On the first roll of two
dice, you win instantly with a sum of 7 or 11 and lose instantly
with a roll of 2,3, or 12. If you roll another sum, say 5, then you
continue to roll until you either roll a 5 again (win) or roll a 7
(lose). How do you solve for the probability of winning?
Throw two dice. If the sum of the two dice is 6or more, you win
$9.If not, you pay me $30.
Step 1 of 2:
Find the expected value of the proposition. Round your answer to
two decimal places. Losses must be expressed as negative
values.
. Dice rolling: In c++Write a program that simulates the rolling
of two dice. The sum of the two values should then be calculated.
[Note: Each die can show an integer value from 1 to 6, so the sum
of the two values will vary from 2 to 12, with 7 being the most
frequent sum and 2 and 12 being the least frequent sums.] The
following table shows the 36 possible combinations of the two dice.
Your program should...
Consider the experiment of rolling two dice (six sides each
dice). Consider the
following events:
A = the sum is less than or equal to four
B = the sum is a prime number greater than five
C = the sum is greater than or equal to nine
D = the sum is an even number
Determine:
1) P (A or B)
2) P (B and C)
3)P (D / C)
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.)