Probability Equations Explained with Examples

5 coins are put in a bag. 3 of the coins are weighted with the probability of flipping heads being three times as great than the probability of flipping tails; the remaining coins are fair. One of these coins is selected at random and then flipped once. What is the probability that a weighted coin was selected given that heads was flipped? Write the answer as a fraction.

kursval7z 2021-11-14

1) Suppose your friend Rudy says that the probability it rains tomorrow is 125 percent. Is Rudy’s statement coherent?
2) Suppose Rudy assigns probability 0.3 to the sentence $(P \to Q)$ .
What probability should Rudy assign to the sentence $(\sim P \lor Q) ?$
3) Suppose Rudy buys a lottery ticket. You say, “Don’t you know how unlikely it is that you’ll win?” Rudy replies, “Either I’ll win or I won’t, so there’s a 50% chance!” Is Rudy correct? In this situation, what might you say to Rudy?

Serotoninl7 2021-11-14

If the probability of winning a game of chance is $\frac{2}{13}$ , what is the probability of not winning the game?

Mahagnazk 2021-11-14

Which number has an unlikely probability?
A) $\frac{7}{8}$
B) 0
C) $\frac{1}{4}$
D) 1

sputavanomr 2021-11-14

For 10 percent of the products in a category, a firm fails to satisfy all demand during the month. What is its in-stock probability?

crapthach24 2021-11-14

A large national study finds that 10% of pregnant women deliver prematurely. A local obstetrician is seeing 16 pregnant women in his next clinic session.
a.What is the probability that none will deliver prematurely?
b.What is the probability that fewer than 3 will deliver prematurely?
c.What is the probability that none will deliver prematurely if, in fact, the true percentage who deliver prematurely is 5.5%?

aidmoong7 2021-11-14

A factory produces a large number of electric cars. A car is chosen at random from the production line as a prize in a competition. The probability that the car is blue is 0.5. The probability that the car has five doors is 0.3. The probability that the car is blue or has five doors is 0.6. Find the probability that the car chosen is not blue and does not have five doors.

dictetzqh 2021-11-14

In a Calculus class, the final exam scores were normally distributed with a mean of 63 and a standard deviation of 5. If you are chosen at random, what is the likelihood that you will obtain a score higher than 65 on the test?
- Identify the type of probability distribution shown in the problem.
- Identify the given in the problem and solve for the probability.

iricky827b 2021-11-14

The victims of a certain disease being treated at Wake Medical Center are classified annually as follows: cured, in temporary remission, sick, or dead from the disease. Once a patient is cured, he is permanently immune. Each year, those in remission get sick again with probability 0.17, are cured with probability 0.18, die with probability 0.05, and stay in remission with probability 0.6. Those who are sick are cured with probability 0.05, die with probability 0.2, go into remission with probability 0.4, and remain sick with probability 0.35.
Find the transition matrix and do the calculations necessary to answer the following questions. (Give your answers correct to three decimal places.)
(a) If a patient is now in remission, what is the probability he is still alive in two years? (Hint: In which states is a patient alive?)
(b) If a patient is now in remission, what is the probability he dies within three years?

europaparksn 2021-11-14

Which of the following statements regarding probability is always correct?
a. A probability can range from 0 to 1.
b. A probability close to 0 means the event is not likely to happen.
c. A probability close to 1 means the event is likely to happen.
d. all of the above are correct.

kursval7z 2021-11-13

A class is taking a multiple choice test with 10 questions where each question has four possible answers. Assume that the answer to any question is independent of that to any other answer. Robert has forgotten to study for this test, so he simply guesses for each question.
What is the probability that Robert guesses exactly 8 of the questions correctly?
What is the probability that Robert gets an $80 %$ or better? Another way of saying this is, what is the probability that he guesses 8 or more questions correctly? This would be the probability of 8 plus the probability of 9 plus the probability of 10.

gabioskay7 2021-11-13

The probability that a person selected at random from a populetion will exhibit the classic symptom of a certain disease is 0.2, and the probability that aperson selected at random has the disease is 0.23. The probability that a person who has the symptom also has the disease is 0.18. If a person is chosen at random from the population and does not have the symptom, what is the likelihood that the person has the disease?

deliriwmfg 2021-11-13

At a restaurant, each dinner special consists of an appetizer, a salad, and an entrée.
The options for an entrée, salad, and appetizer are listed below. Use the choices to answer parts (a) through (d).
$\begin{array}{cc} A p p e t i z e r & S a l a d & E n t r e e \\ M e a t b a l l s & H o u s e & R a v i o l i \\ A n t i p a s t o & G r e e n s & F e t t u c c i n e \\ S o u p & G r e e k \end{array}$
a) Find the sample space's total number of points.
The number of points in the sample space is...?
b) If a customer randomly selects one of the dinner specials, determine the probability the customer selects meatballs for the appetizer.
The probability is...?
c) Find the probability that the customer selects the greens Salad and fettuccine.
The probability is...?
d) Find the probability that the customer selects an entrée other than ravioli.
The probability is...?

impresijuzj 2021-11-13

The probability of the percentage of salts not matching the sand from a particular source is 0.2, and the probability of its grained gradient not matching the specifications is 0.03, so the probability of the sand matching the specifications is equal?

jippie771h 2021-11-13

Jenny sells "honey tea" to raise fund for homeless people. The probability of making a sale is, independently, 0.3 for each person she approaches.
a) Given that she approaches 10 people, find the probability that she will makes at most 3 sales. Interpret the value obtained.
b) What is the probability that she will makes the first sale at the fifth person she approaches?
c) What is the probability that she will makes 4 sales before the seventh person she approaches?
d) Based on Jenny's experience selling "honey tea" for the last 2 weeks, the probability that the person she approaches will buy 0,1,2 or more than 2 cups are 0.7, 0.15, 0.10 and 0.05 respectively. Jenny plans to approached 20 persons. What is the probability that 10 will not buy, will buy 1 cup, 4 will buy 2 cups and the rest will buy than 2 cups?

trainart1 2021-11-13

A survey from Teenage Research Unlimited found that 40% of teenage consumers receive their spending money from part-time jobs. If 5 teenagers are selected at random:
1. Find the probability that at least 3 of them will have part-time jobs.
2. Find the probability that no more than 4 will have part-time jobs.
3. Find the probability that less than 5 but greater than 3 will have part-time jobs.

urca3m403 2021-11-13

Suppose that a manager of a large apartment complex provides the following subjective probability estimates about the number that exists per month.
$\begin{array}{cc} V a c a n c i e s & P r o b a b i l i t y \\ 0 & .05 \\ 1 & .15 \\ 2 & .35 \\ 3 & .25 \\ 4 & .10 \\ 5 & .10 \end{array}$
Provide the probability of each of the following events.
a. No vacancies
b. At least four vacancies
c. Two or fewer vacancies

danrussekme 2021-11-13

A computer repair shop has estimated the probability that a computer sent to the shop has a bad modem is $\frac{1}{4}$ , the probability that the computer has a bad CPU is $\frac{1}{8}$ , and the probability that it has a bad drive is $\frac{1}{5}$ .
If we assume that modems, CPUs, and drives are independent, find the probability of the following. (Enter your probabilities as fractions.)
(a) A modem, CPU, and a drive in a computer sent to the shop are bad.
(b) Only a modem and a CPU in a computer sent to the shop are bad.
(c) None of the three parts (modem, CPU, or drive) is bad.

ikavumacj 2021-11-13

A local bank reviewed its credit card policy with the intention of recalling some of its credit cards. In the past approximately 5% of cardholders defaulted, leaving the bank unable to collect the outstanding balance. Hence, management established a prior probability of .05 that any particular cardholder will default. The bank also found that the probability of missing a monthly payment is .20 for customers who do not default. Of course, the probability of missing a monthly payment for those who default is 1.
1. Given that a customer missed one or more monthly payments, compute the posterior probability that the customer will default.
1. The bank would like to recall its card if the probability that a customer will default is greater than .20. Should the bank recall its card if the customer misses a monthly payment?
Why or why not?

Schwelliney 2021-11-13

EconOcon is planning its company picnic. The only thing that will cancel the picnic is a thunderstorm. The Weather Service has predicted dry conditions with probability 0.2, moist conditions with probability 0.45, and wet conditions with probability 0.35. If the probability of a thunderstorm given dry conditions is 0.3, given moist conditions is 0.6, and given wet conditions is 0.8, what is the probability of a thunderstorm? If we know the picnic was indeed canceled, what is the probability moist conditions were in effect?

If you are looking for high school probability equations, you are in the right place because we can provide you with the list of answers and questions that will help you as you deal with your equations or just need practical examples. If you need to deal with something specific, browse through the list of examples and see how each answer has been handled.

The high school probability differs from those engineering tasks, yet it is not always much simpler if you do not know the basics. Therefore, take your time to see our examples and learn.

High school probability

Probability Examples and Explanations