Probability Equations Explained with Examples

The probability that an individual commutes to work by car is 0.9. What is the probability that ten neighbors all commute by car? What is the probability that none of them commute by car?

wurmiana6d 2021-11-13

Each of the two friends tosses an unbiased coin ten times. What is the probability that each one gets the same number of heads?

tugmiddelc0 2021-11-13

Suppose the probability of winning the Powerball lottery is 0.1, while the probability of being abducted by aliens is 0.6. If these two events are independent, what is the probability of winning Powerball but not being abducted?
A) 0.06
B) 0.54
C) 0.04
D) 0.6
E) 0
F) 0.1
G) 1
H) 0.36

Grady Turner 2021-11-13

The probability of a day being sunny, rainy and snowy are 0.5, 0.4 and 0.1, respectively. The probability of a huge thunderstorm happening are 0.1, 0.7 and 0.2, given the day is sunny, rainy and snowy, respectively. Suppose a huge thunderstorm has taken place.
a. What is the probability that the day was sunny?
b. What is the probability that the day was rainy?

wurmiana6d 2021-11-13

In order to qualify for the next round, soccer team has to get at least 4 points in the next 2 games. General rules: 3 points for victory, 1 point for draw, and 0 points for loss. Probability of a team losing = probability of team winning $= 0.3$ . Find the probability that soccer team will qualify for the next round.

tornesasln 2021-11-13

In a rational world, husband and wife are arguing over a matter. The probability of the husband being Right is 0.8 and the probability of the wife being right is 0.78. And the probability of husband being Right provided that wife is Right is 0.83. What is the probability that the wife is Right provided that the husband is Right?

rastafarral6 2021-11-13

The probability that a shopper in a certain boutique will buy a blouse is 0.35, that she will buy a pair of pants is 0.30, and that she will buy a skirt is 0.27. The probability that she will buy both a blouse and a skirt is 0.15, the probability that she will buy both a skirt and a pair of pants is 0.19, and the probability that she will buy both a blouse and a pair of pants is 0.12. Finally, the probability that she will buy all three items is 0.08.
What is the probability that a customer selected at random will buy:
a. Exactly one of these items?
b. None of these items?

vadulgattp 2021-11-13

Probablity and statistics Question
Need URGENT
The probability that an automobile being filled with gasoline will also need an oil change is 0.37; the probability that it needs a new oil filter is 0.45; and the probability that both the oil and filter need changing is 0.20.
(a) If the oil had to be changed, what is the probability that a new oil filter is needed?
(b) If a new oil filter is needed, what is the probability that the oil has to be changed?

leviattan0pi 2021-11-12

Given the probability that "she's up all night 'till the sun" OR "she's up all night for good fun" is 0.27, the probability that "she's up all night for good fun" is 0.39, and the probability that "she's up all night 'till the sun" AND "she's up all night for good fun" is 0.35, what's the probability that "she's up all night 'til the sun"?
Round to 2 decimal places as needed.

kiki195ms 2021-11-12

A coin is loaded so that the probability of heads is 0.7 and the probability of tails is 0.3. Suppose that the coin is tossed twice and that the results of the tosses are independent.
What is the probability of obtaining exactly two heads?

Barbara Schroder 2021-11-12

Find the probability of each situation.
A jar contains 3 purple marbles, 1 red marble, and 5 blue marbles?
1) What is the probability of pulling a red marble and a blue marble with replacement?
2) What is the probability of pulling a red marble and a blue marble with replacement?
3) What is the probability of pulling a red marble and a purple marble without replacement?

korporasidn 2021-11-12

1.The probability of Christine getting a new job or going on vacation (or both) is 0.85. If the probability of Christine going on vacation is 0.10 and the probability of Christine getting a new job is 0.75, are the events Christine gets a new job and Christine goes on vacation mutually exclusive?
2. The probability that Isabelle will go trick-or-treating is 0.4. The probability that she will go trick-or-treating or watch a scary movie is 0.65. The probability of Isabelle going trick-or-treating and watching a scary movie is 0.20.
A. What is the probability that Isabelle will not watch a scary movie?
B. What is the probability that Isabelle will watch a scary movie but does not go trick-or-treating?

actever6a 2021-11-12

In a family of ﬁve, what is the probability that no two people are born the same month? Explain how you have computed the probability.

nuais6lfp 2021-11-12

The probability that a urine analyzer that is designed to analyze urine (urine) content will produce false result is o.5, with o.6 probability that the urine analyzer is working properly. The probability that the machine produced false result and is working properly is 0.3 Find the probability that 1. The urine analyzer did not produced false results. 2. The urine analyzer is not working properly. 3. The urine analyzer produced false results and is not working properly.

Mahagnazk 2021-11-12

In Alexs

Tammy Fisher 2021-11-12

If a coin is flipped 100 times, the probability of obtaining 49 or fewer heads is 0.4602 and the probability of obtaining 50 heads is .0796
(a) what is the probability of obtaining more than 50 heads?
(b) what is the probability of obtaining at most 50 heads?

Monincbh 2021-11-12

It is estimated that $0.5 %$ of the population of a city has certain disease. A diagnostic test has a probability 0.95 of giving a positive result when applied to a person has the disease, and a probability 0.10 of giving a false positive result. Suppose that the test is now done to a person from the city.
Calculate the following probabilities:
(a) The probability that the test result will be positive;
(b) The probability that given a positive result, the person has the disaese;
(c) The probability that given a negative result, the person does not have the disease;
(d) The probability that the person will be misclassified

embaseclielenzn 2021-11-12

A rare form of malignant tumor occurs in 11 children in a million? so its probability is 0.000011. Four cases of this tumor occurred in a certain town, which had 17,151 children.
a) Assuming that this tumor occurs as usual, find the mean number of cases in groups of 17,151 children.
b) Using the unrounded mean from part (a), find the probability that the number of tumor cases in a group of 17,151 children is 0 or 1
c) What is the probability of more than one case?
d) Does the cluster of four cases appear to be attributable to random chance? Why or why not?

vazelinahS 2021-11-02

The probability that an automobile being filled with gasoline will also need an oil change is 0.35; the probability that it needs a new oil filter is 0.45; and the probability that both the oil and filter need changing is 0.25.
If the oil had to be changed, what is the probability that a new oil filter is needed ?

slaggingV 2021-10-29

What is the probability that a five-card poker hand does not contain the queen of hearts?

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