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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 of being dealt a five card hand from a standard deck of cards will included all five cards of the same suit?

The probability that five cards chosen at random from a standard deck will all be the same suit is

12/51 * 11/50 * 10/49 * 9/48 = about 0.2%.

When does normal distribution occur?

The normal distribution occurs when a number of random variables, with independent distributions, are added together. No matter what the underlying probability distribution of the individual variables, their sum tends to the normal as their number increases.

Many everyday measures are composed of the sums of small components and so they follow the normal distribution.

How many three of diamonds are in a deck of 52 cards?

Of the 52 cards, there are an equal number of each of the 4 suits (Clubs, Spades, Diamonds and Hearts) so there are 52/4 = 13 of each suit.

In each suit there is an A, 2, 3, 4, 5, 6, 7, 8, 9, 10, J, Q, K = 13 cards

Out of the 13 Diamond cards, there is only one which is a 3.

So there is only one 3 of diamonds in a standard deck of 52

What is the probability of spinning a number?

The answer depends on the shape of the spinner and the numbers on it.

What are the 2 conditions that determine a probability distribution?

The value of the distribution for any value of the random variable must be in the range [0, 1].

The sum (or integral) of the probability distribution function over all possible values of the random variable must be 1.

What is probability of drawing a diamond and a club from a deck of cards?

The answer depends on how many cards are drawn. It is 0 if only one card is drawn and 1 if 40 cards are drawn without replacement.

What is the probability of drawing 1 card from each suit?

The answer depends on how many cards are drawn. If 40 are drawn without replacement, from a normal deck, the probability is 1. If 3 are drawn the probability is 0!

What percentage do you have of winning top prize on a scratch card?

There are loads of scratch cards across the world and the winning probabilities are all different.

Is the standard deviation best thought of as the distance from the mean?

No. A small standard deviation with a large mean will yield points further from the mean than a large standard deviation of a small mean. Standard deviation is best thought of as spread or dispersion.

How many ways can you arrange 18 buttons?

Assuming you want a rectangular array, 1 x 18, 2 x 9, or 3 x 6.

What is the probability of picking a 5 from a deck of 52 cards?

Since there are four 5's in a deck of 52 cards, the probability of picking a 5 from a deck of 52 cards is 4 in 52, or 1 in 13, or about 0.07692.

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