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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

What is the probability to get tail at least once when 6 coins are tossed simultaneously?

Number of possible outcomes of one coin = 2

Number of possible outcomes of six coins = 2 x 2 x 2 x 2 x 2 x 2 = 64

Number of possible outcomes with six heads = 1

Probability of six heads = 1/64

Probability of not six heads = at least one tails = 63/64 = 98.4375%

What is the number of different totals resulting from throwing two tetrahedral dice?

It depends on what numbers are on the faces of the tetrahedral dice. The answer can be any number between 1 and 8.

If each face of the two tetrahedorns is 1, the total is always two and so there is only one answer.

If the faces of the two tetrahedrons are numbered 1,2,4,and 8 the sum will be one of eight possible numbers.

What are the chances of throwing heads on a coin 100 times?

The answer is actually 1 in 1267650600228229401496703205376

or stated more neatly, 1 in 2100 .

These answers assume, of course, that the questioner means 100 consecutive times.

Which wins in poker flush hand a spade to the ace or a club to the ace?

In poker, suits do not have rank. Two royal flush's would tie. Otherwise with an A high flush you would go to the next highest card.

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.

How are books classified?

It is classified through the use of Dewey Decimal System, first published in 1876. The current system is linked below if you want to see all of the different classifications.

Here are the basics of the classification system:
000-099 General works (encyclopedias and similar works) 100-199 Philosophy (how people think and what they believe 200-299 Religion (including mythology and religions of the world) 300-399 Social sciences (folklore and legends, government, manners and customs, vocations) 400-499 Language (dictionaries, grammars) 500-599 Pure science (mathematics, astronomy, chemistry, nature study) 600-699 Technology (applied sciences - aviation, building, engineering, homemaking) 700-799 Arts (photography, drawing, painting, music, sports) 800-899 Literature (plays, poetry) 900-999 History (ancient and modern, geography, travel)

What is the probability of pulling 1 yellow button out of a jar?

Depends on the amount of colors of buttons and each amount per color.

Animals probably evolved from?

Probably some sort of vaguely worm-like organism, sharing features of both animals and fungi (which is kinda our extremely distant relative). Before that, it's cells all the way down.

What does suffered from diverging definitions of standards mean?

Diverging definitions means any explanation of standards or set model that have weighted parameter in far distribution from the standard set model itself.If the definition suffers ,it means it lacks many areas of the parameters as defined in the set standard model itself and therefore a weak explanation or definition.

What is the probability of picking any Ace from a full deck of 52 cards?

Because there are four aces in a 52-card deck, the probability is 4/52, or 1/13.

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