Question

DISCRETE STRUCTURE

Which of the events is more likely?

a. Is rolling 2 dice and getting a sum of 7 or rolling 2 dice and getting a sum less than 5 more likely?

b. Is flipping a coin 5 times and getting the same result all 5 times or r

Answer #1

Which is more likely? Flipping a coin 10 times and getting more
than 70% heads or flipping a coin 50 times and getting more than
70% heads? Explain in as much detail as you can.

Rolling Two Dice When two dice are rolled, ﬁnd the probability
of getting: a. A sum of 4 or 8 b. A sum greater than 8 c. A sum
less than 4 or greater than 10 d. A sum that is greater than or
equal to 5 e. A sum of 13 f. A sum less than 7

If two fair dice are rolled together, which of the following is
more likely:
• Getting a total of 7 or more.
• Getting a total of 7 or less.

(5) Rolling two four-sided dice, what’s the likelihood of
getting the same result (i.e., the same sum) twice in a row?
(5) Rolling three four-sided dice, what is the probability of
totaling at least 9?
(5) Rolling three four-sided dice twice, what is the expected
total?
(5) Rolling three four-sided dice twice, what is the
probability of actually getting exactly the expected total
from Problem 8?
(10) Rolling three four-sided dice twice, what is the
probability of the second total...

Which of the following pairs of events are independent?
Rolling a die and tossing a coin
Rolling a sum of 12 on two dice and rolling a 6 on one of two
dice
Scoring in a soccer game and winning a soccer game
All of the above are independent events
None of the above are independent events

What’s the
probability of the following series of events; rolling a 7 on a
fair set of 2 dice, followed by flipping a “heads” on a fair coin,
followed by selecting the ace of spades from a fairly shuffled deck
of 52 cards?
a.
0.0371
b.
0.0016
c.
0.0351
d.
0.0518
e.
0.3333

Construct a sample space (list or make a tree diagram of all of
the outcomes) for the experiment of
rolling a 12 sided die and flipping a coin at the same time.
Assuming each outcome is equally likely, what is the probability
of: DO NOT REDUCE
b) rolling a number less than 4 and getting heads?
c) rolling an odd number and getting tails?
d) rolling a 7 and getting ( heads or tails)

Dice Rolling) Write an application to simulate the
rolling of two dice. The application should use an object of class
Random once to roll the first die and again to roll the second die.
The sum of the two values should then be calculated. Each die can
show an integer value from 1 to 6, so the sum of the values will
vary from 2 to 12, with 7 being the most frequent sum and 2 and 12
being the...

For the following questions, find the
probability using a standard 6-sided die or two 6-sided dice. Write
your answer as a fraction or with a colon in lowest terms.
Rolling a single die, what is the probability of rolling an
even number?
Rolling a single die, what is the probability of rolling a
5?
Rolling a single die, what is the probability of rolling a
7?
Rolling a single die, what is the probability of rolling a
number less than...

1) A dice game involves rolling 2 dice. If a 2, 3, 4, 10, 11, or
12 (the sum of the two) is rolled, you win $5.00. If you roll a 5,
6, 7, 8, or 9 you lose $5.00. Find the expected value per play.
Please explain the work in detail

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 14 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago