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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

Can a probability be negative?

When dealing with sets that have mutually disjointed (distinct) elements, IE they are under the system defined by Kolmogorov axioms, they cannot be negative. These are the probabilities normally dealt with.

However, when you deal with issues in quantum mechanics etc, where each element is not distinct, then negative probabilities arise and are used as an intermediary step.The end result will not contain a negative probability when dealing with such quasiprobability systems.

How many ways can 5 people sit in a row if two of them insist on sitting together?

(If they wouldn't want to sit together the answer would be 5! (120) but since there is a pair, we can count them as one person. So, my guess is that the answer is 4! (24))

The person who wrote this answer thought correctly that we need to consider the two person as if they are one so the answer is 4! , but still those two person can switch places between themselves so the correct answer should be 4! * 2! = 48

When two dice are rolled find the probability of getting a 4 or a 6?

1 in 3, for example:

6 face, chances of landing number 3 is: 1 in 6,

chances of landing 4 or a 6 is 1 in 3 because 2 faces out of 6 = 2 in 6, as these can be both divided by the same number (basic fractions) moved down to 1 in 3.

Although if you mean what are the chances of a 4 rolling or a 6 rolling individually then its back to 1 in 6 chance.

You could get really indepth into it and start talking about the weight and the size of the dice, the fact that one side if lighter/heavier than the other because it has more/less holes for the numbers, but in most cases without proper investigation surpasing most normal peoples abilities you just go by what I said above.

Prob of getting a 4 is

2/ 12

and a prob of getting a 6 is

2/12

but if you mean getting 4 as in both dices adding up 2 and 2, then it is another story.

A deck of ordinary cards is shuffled and 13 cards are dealt. What is the probability that the last card dealt is an ace?

The odds of any card pulled from an ordinary deck of 52 cards being an Ace is 4 in 52 (4 aces in a deck of 52). This can be reduced to a 1 in 13 chance of any random card pulled from the deck being an Ace (or any other specific value, for that matter).

That 13th last card dealt in a hand is no different than picking a random card out of the pack, regardless of what cards you deal before (face down or blindfolded or even face up, it doesn't matter).

A more interesting question would be "what would the probability be of ANY of those 13 cards being an Ace?" Any takers?

A bag contains 3 blue marbles and 4 red marbles. What is the probability that three randomly drawn marbles without replacement will all be red?

The probability of drawing 3 red marbles in a row from a bag of 3 blue and 4 red marbles without replacement is right at about 0.11 or about 11 in 100, if you want odds.

Remember that probability is a pure number between zero (no chance - it's impossible) and 1 (it will happen - it's a certainty). A probability of 0.5 is a 50-50 shot, like a coin toss. We good? Let's move on.

We have 7 marbles, and there is a 4 in 7 shot of getting a red marble in the first draw. There is a 3 in 6 shot the next draw since now we only have 6 marbles total (NO replacement) and only 3 red ones (we already drew a red one out). Similarly, there is a 2 in 5 shot of getting a third red one if the first two are red. The probability of the first action (getting a red marble on the first draw) is 4/7 or a probability of about 0.5714. Second draw, it's 3/6 or a probability of 0.5. Last, it's 2/5 or a probability of 0.40. To find the intersection of these probabilities, we just multiply them all together, and we'll get right at about 0.011 for a probability.

What is negative 2 plus negative 8?

well since they have the same signs you add them together and since 2 plus 8 is ten the answer is -10

What is the probability of getting at least 2 heads in three flips of a fair coin?

In three flips of a fair coin, there are a total of 8 possible outcomes: T, T, T; T, T, H; T, H, T; T, H, H; H, H, H; H, H, T; H, T, H; H, T, T Of the possible outcomes, four of them (half) contain at least two heads, as can be seen by inspection. Note: In flipping a coin, there are two possible outcomes at each flipping event. The number of possible outcomes expands as a function of the number of times the coin is flipped. One flip, two possible outcomes. Two flips, four possible outcomes. Three flips, eight possible outcomes. Four flips, sixteen possible outcomes. It appears that the number of possible outcomes is a power of the number of possible outcomes, which is two. 21 = 2, 22 = 4, 23 = 8, 24 = 16, .... Looks like a pattern developing there. Welcome to this variant of permutations.

What is the probability of pulling a queen out of a stack of 52 cards?

The probabilty of pulling a queen out of a stack of cards is four chances (since there are four queens, one of each suit) out of 52. Or 4/52, or .08, or 8%.

There are 3 ants at 3 corners of a triangle they randomly start moving towards another corner what is the probability that they do not collide?

25%

ANSWER: One in four. Each ant can only move in two directions. Multiply that to get the total number of possibilities (2×2x2=8 ways). There are only two ways the ants can avoid running into each other. Either they all travel clockwise, or they all travel counterclockwise. Otherwise, there has to be a collision.

Pick one ant and call him "Bill." Once Bill decides which way to go (clockwise or counterclockwise), the other ants have to go in the same direction to avoid a collision. Since the ants choose randomly, there is a one-in-two chance the second ant will move in the same rotational direction as Bill, and a one-in-two chance the third ant will. That means there is a one in four chance of avoiding a collision.

Let's Say each ant can move left or right, here are the possible directions:

LLR, LRL, RLL,

RRL, RLR, LRR,

LLL, RRR

Using 2 dice how many different combinations can you roll?

you cam make 36 different combinations.

Ans 2.

If you roll one dice twice, there are 36 combinations, if and only if you count 1,2 as different from 2,1.

If you are rolling two dice (at once) there are only 21 different combinations !

A dice is rolled three times in succession what is the probability of rolling three sixes?

The probability of rolling a six is one in six. The probability of rolling three consecutive sixes is one in 216. (1/6 x 1/6 x 1/6 = 1/216)

What is an addition expression?

An addition expression is an equation without an equals sign (=)

An example of an addition expression is 2+3. And that's it! Very simple!

more examples:

2+8

2+6

6+1

4+1

9+1239759736493856

7824501287565240564929384658834765+7569276520972809742659258215

Get it now?

Where can you buy 20 sided dice?

On the Deep Internet, Black Market Reloaded.

You need bitcoins to buy them though.

Probability of getting a multiple of 2 on a die?

2/6

It should be 3/6. Because the sample space is S=(1,2,3,4,5,6) As 2,4 and 6 is a multiple of 2, it should be 3/6

What is probability of choosing a red or pink star?

The answer depends on

  1. how many distinct colours there are
  2. how many stars of each colour
  3. how many stars are chosen
  4. whether or not each star is replaced before the next one is chosen,
  5. whether they are chosen randomly.

Since you have not bothered to share any information on these factors, I cannot provide a more useful answer.

What is the probability that the player will beat the dealer in blackjack?

If you mean, on a specific RANDOM hand, there is, depending on the precise rules, approx. a 43% chance of winning the hand, a 9% chance of a tie, and and a 48% chance of losing the hand.

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