Probability Equations Explained with Examples

A fair quarter is flipped three times. For each of the following probabilities, use the formula for the binomial distribution and a calculator to compute the requested probability. Next, look up the probability in the binomial probability distribution table. (Enter your answers to three decimal places.) Find the probability of getting exactly three tails. (d) Find the probability of getting exactly three tails. (d) Find the probability of getting exactly three tails.

Ava-May Nelson 2021-09-14

If volume is high this week, then next week it will be high with a probability of 0.9 and low with a probability of 0.1.
If volume is low this week then it will be high next week with a probability of 0.5.
Assume that state 1 is high volume and that state 2 is low volume.
What is the probability that volume will be high for three consecutive weeks?

kuCAu 2021-09-14

When a coin is tossed 100 times, the probability of obtaining at most 49 heads is .4602 and the probability of obtaining 50 heads is .0796
what is the probability of obtaining more than 50 heads?

bobbie71G 2021-09-14

a simple binary communication channel carries messages by using only two signals, say 0 and 1. We assume that, for a given binary channel, 40% of the time a | is transmitted. 0.90% of the time, a transmitted 0 will be correctly received. and the probability that a transmitted | is correctly received is 0.95. given a | is received, the probability that 1 was transmitted.
0.90% of the time, a transmitted 0 will be correctly received.

banganX 2021-09-14

Sam and Allen have applied for scholarships. The probability that Sam gets a scholarship is 0.93. The probability that Allen gets a scholarship is 0.77. The probability they both get scholarships is 0.74.
If Allen receives scholarship, what then isthe conditional probability that Sam will not recelve a scholarship?

Anonym 2021-09-14

A fair quarter is flipped three times. For each of the following probabilities, use the formula for the binomial distribution and a calculator to compute the requested probability. Next, look up the probability in the binomial probability distribution table.Find the probability of getting exactly two heads.

illusiia 2021-09-13

The porosity of Wara formation is normally distributed with a mean of 18% and a standard deviation of 4%.
If five core samples selected at random, find the probability that all these cores will have porosity more than 47.6%? comment on your answer.

defazajx 2021-09-13

Three students bring identical umbrellas to class and leave them in a pile by the door. When they leave, they each just grab a random umbrella.

Cem Hayes 2021-09-13

Ali an Sara each choose a number independently and uniformly at random from interval [0,2].
Consider the following events:
A:The absolute difference between the two numbers is greater than 1/4
B: Ali`s number is greater than 1/4
Find the probability $P [A \cap B]$

abondantQ 2021-09-13

What is the variance of the probability distribution? A. 0.5725 , 0.2575 B. 0. 7255 D. 0.5275

Bergen 2021-09-13

A card is drawn randomly from a standart 52-card deck. Find the probability of given event:
The card drawn is not a face card.

Chaya Galloway 2021-09-13

The probability of an event happening exactly twice in 4 trials is 18 times the probability of it happening 5 times in 6 trials. Find the probability that it will occur in 1 trial.

hexacordoK 2021-09-13

An urn contains 3 one-dollar bills, 1 five-dollar bill and 1 ten-dollar bill. A player draws bills one at a time without replacement from the urn until a ten-dollar bill is drawn. Then the game stops. All bills are kept by the player. Determine the probability of winning all bills in the urn

OlmekinjP 2021-09-13

Max and Stephen are at a restaurant and will each order either a burger or a pizza. The probability Max orders a burger is 0.6 (i.e. 60%). The probability that Stephen orders a pizza is 0.5. The probability that both Max and Stephen order a burger is 0.34. Answer the following questions. Hint: Let M be the event that Max orders a burger and S be the event that Stephen orders a burger. Calculate the probability that Max orders a burger given that Stephen orders a burger.

a2linetagadaW 2021-09-13

A large cooler contains a total of 41 softdrinks, of which:
15 are lemonades,
6 are Sprites,
8 are Cokes, and
12 are root beers.
You randomly pick two cans, one at a time (without replacement).
What is the probability that you do not get two cans of Coke?

Chardonnay Felix 2021-09-13

If a coin is tossed 100 times, the probability of obtaining at most 49 heads is .4602 and the probability of obtaining 50 heads is .079
what is the probability of obtaining at most 50 heads?

arenceabigns 2021-09-12

Ali starts driving for office in the morning at some time uniformly chosen in the interval [8:30,9.00]. His favorite radio program comes on at 8:30 and may last anywhere between 5 to 15 minutes with equal probability. What is the probability that he catches at least a part of the program?

Harlen Pritchard 2021-09-12

The standard deviation of monthly rents paid by students in a particular city is assumed to be $ 40.
If a random sample of 100 students is taken, the sample mean must be at least $ 5 higher than the population average what is the probability?

rocedwrp 2021-09-12

The National Vaccine Information Center estimates that 90% of Americans have had chickenpox by the time they reach adulthood.
What is the probability that at least 1 out of 10 randomly sampled American adults have had chickenpox?

kuCAu 2021-09-12

In a bolt factory, three machines Z, F and W makes 10%, 60% and 30% respectively of the products.
It is known from the past experience that 4%, 7% and 9% of the products by each machine respectively are defective.
Now suppose that a finished product is randomly selected.
If the selected bolt is defective then what is the probability that the bolt was produced by Z machine

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