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Probability

The probability of a certain event is a number expressing the likelihood that a specific event will occur, expressed as the ratio of the number of actual occurrences to the number of possible occurrences. In mathematics, it is a measure of how often an event will happen and is the basis of statistics.

14,643 Questions

When is it useful to use probability?

When there is uncertainty about the outcome of a trial or experiment.

What is the probability of getting 9 cards of the same suit in one hand out of 52 cards?

Asssuming you mean in a 13 card hand, to get exactly nine cards in a suit, there are 4 x C(13,9) x C(39,4) possible hands out of C(52,13) total hands. That is 4 x 58,809,465 / 635,013,559,600 = 0.000370445412454, or about 1 in 2700.

What is the probability of rolling a total score of 10 or greater?

Assuming you are rolling six sided dice.

You could roll (4,6)(5,5)(5,6)(6,4)(6,5)(6,6)

6 ways / 36 total opportunities =1/6

What is the probability of tossing a coin 5 times and getting at least one tail and one head?

This is one of those cases where it is probably easier to think what is the probability of not doing it, then subtracting that from 1 to get the probability of doing it. To not get at least one head and one tail, you would have to get all heads or all tails. To get all heads, the probability is (1/2)5. To get all tails is the same probability; so double it to get the probability of either of those. 2(1/2)5=1/16. Subtract the 1/16 from 1 to get 15/16. Answer: 15/16

What is the indicated z score if a graph depicts a standard normal variance with the mean 0 and standard deviation of 1?

For a N(0, 1) distribution, no linear transformation is necessary and so the z-score is the value of the coordinate on the horizontal axis.

For a N(0, 1) distribution, no linear transformation is necessary and so the z-score is the value of the coordinate on the horizontal axis.

For a N(0, 1) distribution, no linear transformation is necessary and so the z-score is the value of the coordinate on the horizontal axis.

For a N(0, 1) distribution, no linear transformation is necessary and so the z-score is the value of the coordinate on the horizontal axis.

What causes objects to sink?

An object will sink if gravity effects it more then it's boyancy does.

How is probability related to statistics?

Probability is related to statistics in a direct manner. When one is doing a research for statistics, probability has to be used especially in sampling a small region.

If you are 14 what are the chances of you losing your baby?

Hi hon If you see your doctor on a regular basis I am sure everything will be just fine. I suggest you educate yourself off the web regarding how to care for yourself and your baby as well as child birth. You didn't mention parents, but it's OK to either have them with you during labor, or an aunt or just a good friend. Have someone there for you! Get going to your doctor, have a list of questions to ask him/her and they will make you feel a whole lot better. To get your information please go to: www.google.com ASK: Things to know about being pregnant. The more you learn the less fearful you will be. Good luck hon Merry Christmas Marcy it is higher then normal and thers a higher risk for low birth weight with means theres double the chance of the baby dieing within the first year but if u eat healthy and do what ur supposed to then i think u'll be ok

Does bike riding bring your period faster?

Heavy exercise in general can mess with your periods, regardless of how you exercise. Usually through delaying them or in extreme cases cause them to cease entirely. Anyhow your body isn't clockwork perfect, and periods can shift a bit for no obvious reason.

How do you calculate the probability of a royal flush?

First, we determine the total number of five card hands possible. Since there are 52 cards, we simply pick the first card 52 ways, then the second card 51 ways, then the third card 50 ways, then the fourth card 49 ways, and finally the fifth card 48 ways. This gives a total of 52*51*50*49*48. Since the order that we pick the cards is unimportant, we divide this total by the number of ways of permuting five objects, which is 5! = 120. So, the total becomes 52*51*50*49*48/120 = 2598960. Note this is just (52 choose 5).

Now that we know the number of possible hands, we simply divide the number of royal flushes (4) by the above 2598960:

4/2598960 = 0.000001539, the probability of getting a royal flush in the first 5 cards off the deck.

Of course, depending on the type of poker being played, the probability will differ from this value. Omaha has a higher probability than Texas Hold'em, which has a higher probability than calculated above. Wild cards can drastically change the probability. If every card in the deck is wild, then the probability is 1 (if 5 of a kind isn't allowed) or 0 (if 5 of a kind is allowed).

What is the probability of getting 53 Sunday in a leap year?

Total number of days in a leap year is 366, ie 52 weeks and 2 days.

The last 2 days can be either ( Mon Tue, Tue Wed, Wed Thu, Thu Fri, Fri Sat, Sat Sun, Sun Mon)

The possible outcomes are 7

The outcomes where one of the day is a Sunday is 2

So probability of getting 53 Sundays is = 2/7.

The exact probability is 28/97, which is about 28.87%.

What is the mean of the distribution of tossing a fair coin 24 times?

The answer depends on what the random variable is: it could be the number of heads, it could be the length of the longest sequence of heads (or tails), it could be the longest alternating sequence, and many other events. Since the event has not been defined, it is not possible to give a sensible answer.