Learn How to Solve Combinatorics Equations with Expert Help

High School
Calculus and Analysis
Precalculus
Probability and combinatorics

Recent questions in Probability and combinatorics

sibuzwaW 2021-11-07

What is the probability that Bo, Colleen, Jeff, and Rohini win the first, second, third, and fourth prizes, respectively, in a drawing if 50 people enter a contest and a) no one can win more than one prize. b) winning more than one prize is allowed.

nagasenaz 2021-11-07

The number of accidents occurring on a highway each day is a Poisson random variable with parameter $λ = 3$ . (a) . So, u need to find the probability that 3 or more accidents occur today. (b) Repeat part (a) under the assumption that at least 1 accident occurs today.

vazelinahS 2021-11-06

Show that the equation has no solutions with integers x and y $2 x^{2} + 5 y^{2} = 14 .$

Wotzdorfg 2021-11-06

An insurance company looks at its auto insurance customers and finds that
a) all insure at least one car,
b) 85% insure more than one car,
c) 23% insure a sports car, and
d) 17% insure more than one car, including sports car.
Find the probability that a customer selected at random insures exactly one car and it is not a sports car.
What is the formula for an intersection of two events where one event is a complement?
For example $P (A^{'} \cap B)$ , what will be its formula? For example this question.

Trent Carpenter 2021-11-05

The reaction
$A + B y i e l d s C + D$
$r a t e = k [A] {[B]}^{2}$
has an intial rate of $0.00220 \frac{M}{s}$
what will the initial rate be if $[A]$ is halved and $[B]$ is tripled? Answer must be in $\frac{M}{s}$
What will the intial rate be if $[A]$ is tripled and $[B]$ is halved? Answer must be in $\frac{M}{s}$

Mylo O'Moore 2021-09-16

Suppose that the probability density function of the amount of milk deposited in a milk container is:
$f (X) = 40.976 - 16 x^{2} - 30 e^{- x}$ for $1.95 \leq x \leq 2.1$ Liters.
a) Calculate the probability that the actual amount of milk deposited is less than 2 liters.
b) Calculate the Expected Value in Liters of this distribution.

tabita57i 2021-09-15

How many five-letter sequences are possible that use the letters q, u, a, k, e, s at most once each?

remolatg 2021-09-15

A license plate is designed so that the first two characters are letters and the last four characters are digits (0 through 9). How many different license plates can be formed assuming that letters and numbers can be used more than once?

mattgondek4 2021-09-13

Seven red and one black ball are present in Urn 1. One red ball and two black balls are in Urn 2. Five red and two black balls are in urn number three. Calculate the likelihood that a red ball will be drawn if an urn is chosen at random and then drawn.

opatovaL 2021-09-13

Suppose that you buy a lottery ticket containing k distinct numbers from among ${1, 2, . . ., n}, 1 \leq k \leq n$ . To determine the winning tickets, k balls are randomly drawn without replacement from a bin containing n balls numbered 1, 2, . . . , n. What is the probability that at least one of the numbers on your lottery ticket is among those drawn from the bin?

CMIIh 2021-09-13

where 30% of all admitted patients fail to pay their bills and the debts are eventually forgiven. suppose that the clinic treats 2000 different patients over a period of 1 year, and let x be the number of forgiven debts. a. what is the mean (expected) number of debts that have to be forgiven? b. find the variance and standard deviation of x. c. what can you say about the probability that x will exceed 700?

preprekomW 2021-09-12

Suppose 38 manufacturing workers are selected randomly from across Switzerland and asked what their hourly wage is. What is the probability that the sample average will be between $30.00 and $31.00?

coexpennan 2021-09-12

A ping test determines whether a client (computer, smartphone, or similar device) communicates with another device across a network. Assume that the probability of response to a test is 3/4. The test involves a large number of runs and it continues until the first response is recorded. Define the random variable X as the number of runs of the test required to terminate the experiment. Suppose that the condition of one run does not affect that of another.
a. Determine the probability distribution of X.
b. Let A be defined as the event that the experiment ends after an even number of repetitions. Evaluate P(A).

BenoguigoliB 2021-09-11

Kate and Helena were playing a card game with a 25 card deckk. Kate added 6 cards to the stack. Then she took 7 cards away. Helena took 5 cards. How many cards remained in the deck?

zi2lalZ 2021-09-10

A report revealed that the average number of months that an employee stays in a factory is 36 months. Assuming that the number of months of an employee tenure in the factory is normally distributed with a standard deviation of 6 months, find the probability that a certain employee will stay. a. More than 30 months b. Less than 24 months c. Between 24 to 48 months

aortiH 2021-09-09

In a fuel economy study, each of 3 race cars is tested using 5 different brands of gasoline at 7 test sites located in different regions of the country. If 2 drivers are used in the study, and test runs are made once under each distinct set of conditions, how many test runs are needed?

EunoR 2021-09-08

A restaurant offers a $12 dinner special with seven appetizer options, 12 choices for an entree, and 6 choices for a dessert. How many different meals are available when you select an appetizer, an entree,and a dessert?

BolkowN 2021-09-08

A professor writes 40 discrete mathematics true/false questions. Of the statements in these questions, 17 are true. If the questions can be positioned in any order, how many different answer keys are possible?

York 2021-09-07

In a criminal trial b jury, suppose the probability the defendant is convicted, given guilt, is 0,95, and the probability the defendant is acquitted , given innocence, is 0,95. Suppose that 83% of all defendants truly are guilty. Given that the defendant is convicted, find the probability he or she was actually innocent.

Isa Trevino 2021-09-06

A rectangular area adjacent to a river is to be fenced in. no fence is needed on the river side. The enclosed area is to be 1000 square feet. Fencing for the side parallel to the river is $5 per linear foot, and fencing for the other two sides is $8 per linear foot. the four corner posts are $25 apiece. Let x be the length of one of the sides perpendicular to the river. Write a function C(x) that describes the cost of the project.

Even though it is always placed into the field of Precalculus, probability and combinatorics problems are more related to analytics and statistical information that many students implement as they are working with the accuracy of their research data. It is one of the reasons why finding good probability combinatorics examples is both complex and not. It is good to have a look through probability combinatorics questions as these will provide you with the answers and help understand how equations work and why possible outcomes are vital for understanding how the calculation takes place.

Precalculus

Combinatorics: Examples, Equations, and Practice Problems