a) A normal 20-sided die has each of the numbers 1 through to 20 written on...
a) A normal 20-sided die has each of the numbers 1 through to 20 written on its faces, and has an equal chance of landing on any one of these numbers. If it is rolled 7 times, what is the probability that a 3 turns up exactly 5 times?
Homework Answers
P(turning up 3) = 1/20 = 0.05
n = 7
P(X = x) = 7Cx * 0.05x * (1 - 0.05)7-x
P(X = 5) = 7C5 * 0.055 * 0.952 = 0.0000059 (ans)
Add Answer to:
a) A normal 20-sided die has each of the numbers 1 through to 20
written on...
Assume that we have a fair five-sided die with the numbers 1 through 5 on its...
Assume that we have a fair five-sided die with the numbers 1 through 5 on its sides. What is the probability that each of the numbers 1 through 5 will be rolled? If we roll two of these dice, what is the range of possible totals of the values showing on the two dice? What is the chance that each of these totals will be rolled?
7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities...
7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities of rolling any of the numbers from 1 to 6 are all equal. 1) If it is rolled once and let A be the event of rolling a number larger than 3 and B be the event of rolling an odd number. What is P(AV B)? 2) If it is rolled three times, what is the probability that the same number shows up in...
PLEASE SHOW EACH STEP- SHOW THE PROBABILITY WITH FRACTIONS A fair six-sided die has faces numbered...
PLEASE SHOW EACH STEP- SHOW THE PROBABILITY WITH FRACTIONS A fair six-sided die has faces numbered 1 through 6. A) What is the probability that the die would be rolled 3 times in order to get the first 2? B) What is the probability that the die would be rolled 4 times in order to get the first odd number?
A 20-sided fair die and an 8-sided fair die are rolled. What is the probability of...
A 20-sided fair die and an 8-sided fair die are rolled. What is the probability of rolling: exactly a 5 on the first die OR a 2 or larger on the second die? Enter your answer as a reduced fraction. ________________
You roll a 6-sided die. The die has one to six spots on each side, with...
You roll a 6-sided die. The die has one to six spots on each side, with each count (1, 2, 3, 4, 5, or 6) appearing once. The die is fair: each side has an equal chance that it will be up when the die lands. What is the probability that you will roll a value greater than or equal to 2? Express your answer in decimal form to 3 decimal places.
When a fair die is rolled, it has equal chance to show one of six faces,...
When a fair die is rolled, it has equal chance to show one of six faces, labelled 1 through 6. If it is rolled 10 times, what is the probability that there are at least three 6's?
Suppose that a balanced, six-sided die has been altered so that the faces are 1, 2,...
Suppose that a balanced, six-sided die has been altered so that the faces are 1, 2, 3, 4, 5, and 5. If the die is tossed five times, and the number on the uppermost face is recorded each time, what is the probability that the numbers recorded are 1, 2, 3, 4, and 5 in any order? (Round your answer to four decimal places.)
Two faces of a six-sided die are painted red, two are painted brown, and two are...
Two faces of a six-sided die are painted red, two are painted brown, and two are painted green. The die is rolled three times, and the colors that appear face up on the first, second, and third rolls are recorded. (a) What is the probability that the three rolls produce exactly two different colors? (b) What is the probability that the three rolls produce at least one red?
We roll a fair 8-sided die five times. (A fair 8-sided die is equally likely to...
We roll a fair 8-sided die five times. (A fair 8-sided die is equally likely to be 1, 2, 3, 4, 5, 6, 7, or 8.) (a) What is the probability that at least one of the rolls is a 3? (b) Let X be the number of different values rolled. For example, if the five rolls are 2, 3, 8, 8, 7, then X = 4 (since four different values were rolled: 2,3,7,8). Find E[X].
A regular six-sided die is rolled 9 times. What is the probability of getting a 1...
A regular six-sided die is rolled 9 times. What is the probability of getting a 1 or 6 on exactly 7 of those rolls?
7. (3 points) Given a fair 6-sided die. Each time the die is rolled, the probabilities of rolling any of the numbers from 1 to 6 are all equal. 1) If it is rolled once and let A be the event of rolling a number larger than 3 and B be the event of rolling an odd number. What is P(AV B)? 2) If it is rolled three times, what is the probability that the same number shows up in...
Suppose that a balanced, six-sided die has been altered so that the faces are 1, 2, 3, 4, 5, and 5. If the die is tossed five times, and the number on the uppermost face is recorded each time, what is the probability that the numbers recorded are 1, 2, 3, 4, and 5 in any order? (Round your answer to four decimal places.)
Two faces of a six-sided die are painted red, two are painted brown, and two are painted green. The die is rolled three times, and the colors that appear face up on the first, second, and third rolls are recorded. (a) What is the probability that the three rolls produce exactly two different colors? (b) What is the probability that the three rolls produce at least one red?
We roll a fair 8-sided die five times. (A fair 8-sided die is equally likely to be 1, 2, 3, 4, 5, 6, 7, or 8.) (a) What is the probability that at least one of the rolls is a 3? (b) Let X be the number of different values rolled. For example, if the five rolls are 2, 3, 8, 8, 7, then X = 4 (since four different values were rolled: 2,3,7,8). Find E[X].
Most questions answered within 3 hours.
-
Calculate the following: ***SHOW ALL WORK!!!! Or
NO CREDIT*** Circle your answers. 8pts
each
In the...
asked 2 minutes ago -
List two ways of transformation on the response variable that
can be used to deal with...
asked 27 minutes ago -
If a 2000 ohm resistor has a -3.90 mA current going through it.
What is the...
asked 31 minutes ago -
Please comment on the sentences.
Some types of jobs require more training than others. Some
companies...
asked 1 hour ago -
The )G01 for the hydrolysis of phosphorarginine
reaction depicted below is –32 kJ mol-1.
Phosphoarginine ...
asked 2 hours ago -
Cross a heterozygous blue-eyed goat with a homozygous brown-eyed
goat. Be sure to indicate which kids...
asked 2 hours ago -
Use the following information to answer the next two
questions.
Please refer to question 9-90. A...
asked 2 hours ago -
A solution containing 0.050 g of an unknown electrolyte in 2.50
g of cyclohexane was found...
asked 2 hours ago -
Question 1
a) Hydraulic conductivity of soils is an important parameter for
the design of engineering...
asked 2 hours ago -
Suppose your credit card balance is
$15,000
The minimum payment is
$313
and the annual percentage...
asked 2 hours ago -
Professor plays basketball and makes 75% of free
throws she shoots. If professor shot 5 free...
asked 2 hours ago -
Create an ArrayListReview class with one generic type to do the
following
• Creates an array...
asked 3 hours ago