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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

How many red cards are in a deck of cards and are a multiple of 5?

There are four red cards that are a multiple of 5. The five of hearts, the five of diamonds, the ten of hearts, and the ten of diamonds.

What is the standard used by statistics to determine the probability of an event occurring outside of chance alone?

There is no standard. Often the 5% or 1-in-20 rule is used but it really depends on the risk of error. If the consequences of making the wrong decision are great then a 1% or even smaller value may be used. - for example, in medical research.

What is the probability of drawing a square?

The probability is 0: there are infinitely many shapes.

In a bag containing 6 purple marbles 19 green marbles 5 blue marbles 19 yellow marbles and 17 red marbles what is the probability of pulling out a yellow marble?

Total number of marbles in the bag = 6 + 19 + 5 + 19 + 17 = 66

Number of yellow ones = 19

If drawing perfectly randomly, then the probability of pulling a yellow one = 19/66 = 28.8% (rounded)

Does symmetrical distribution have multiple peaks?

It can have multiple peaks, but most symmetrical distributions do not.

When rolling 2 dice find the probability that the face total is divisible by 3 or 4?

(1,2);(1,3);(1,5);(2,1);(2,2);(2,4);(2,4);(3,1);(3,3):(3,5);(3,6);(4,2);(4,4);(4,6);(5,1);(5,3);(6,2);(6,3);(6,6),there are 19 cases favourable to given event. the required probabilty is 19/36.

Why can 1 be a probability?

Because if there is absolutely no chance of something failing. For example lets say I have a standard deck of 52 cards what is the probably that I draw either a heart, a club, a spade, or a diamond. That covers every card in the deck meaning there is no way I did not get the outcome I wanted.

When a single card is drawn from an ordinary 52 card deck find probability that the number is from three to six inclusive?

The probability of drawing a three, four, five, or six from an ordinary 52 card deck is 4 in 13, or about 0.3077.

What is the probability of getting an ace in a pack of 52 cards?

The probability is 0 if you pick the the card from one end of a mint pack (2 of clubs) and 1 if you pick it from the other end (A spades). Also, if you pick 49 cards without replacement, the probability is 1.

So, the answer depends on how many cards are drawn, and whether or not they are drawn from a well shuffled pack. The probability of getting an ace when one card is randomly picked from a pack is 4/52 = 1/13.

How many black face cards are in a standard 52 deck of cards?

In a standard deck of 52 cards black face cards are the spades and claver.

There are 13 spade and 13 claver cards ( A,2,3,4,5,6,7,8,9,K,Q,J)

So there are a total of 26 black face cards in a deck of 52 cards.

How frequency distribution might be used to understand and improve inventory systems?

Frequency distribution, helps us to understand the trends of data. If gives an idea about how data is spread. To graphically represent the data, a histogram is used.

In an inventory system, this measure helps in understanding the demand for different classes of items, based on which inventory ordering can be adjusted.

example: In in a shoe store, if the frequency distribution shows that, shoe of size 9 is sold maximum then the store can order more of size 9 shoes.

What is the probability that the sum of the dice is less than 6 and one die shows a 3?

The probability that the sum of two dice rolled is less than 6 when one die comes out

3 is 2/6 = 1/3, since there are only two outcomes that the second die has so the sum turns out less than 6. these are (2) and (1), each with the probability of occurring of 1/6.

What is the experimental probability of rolling a 3 on a number cube labeled 1-6 if raul rolled a 3 four times out of 20?

use binomial probability. (nCx)(px)(qn-x)...... N=trials x=outcomes p=probability in one trial. q=1-p...... N=20 x=4 p=1/6 q=5/6.......... nCx or nCr is a function on any scientific calculator, may need to search for it..

(20C4)(1/6)4(5/6)16=.2022 or 20.22%

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The above probability is the theoretical probability. The experimental probability would be: P(3) = 4/20 = 0.20 = 20%.

How many jacks in a deck of 52?

There are 4 jacks in a deck of 52 cards!

What does it mean for a probability to be fair?

A probability is fair if there is no bias in any of the possible outcomes. Said another way, all of the possible outcomes in a fair distribution have an equal probability.

Will sample means be nearly normally distributed if the distribution of the measurement among the individuals are not from a normal distribution?

Yes, as you keep drawing more and more samples and the number of samples become sufficiently large. This is known as the Central Limit Theorem.

How many different ways can any two letters of the alphabet be arranged?

Since any two letters of the alphabet do not duplicate each other, then the number of arrangements of any two letters is the same as the number of permutations of 26 things taken 2 at a time. That is 26! / (26 - 2)!, or 26! / 24!, or (26) (25), or 650.

What is the meaning of 15 percent precipitation chance on tomorrow?

That out of 100%, there is a 15% chance of rain (if it helps think of it as 15 out of 100 points). So very unlikely it will rain

What is the probability of drawing a black card frrom a deck of 52 cards?

There are 26 black cards in a deck of cards (13 spades and 13 clubs)

There are 52 cards total in a deck of cards

Therefore, the probability of drawing a black card from a deck of 52 cards: 26/52 0.5

What is the probability you would pick out the six of hearts out of a deck of cards?

Presuming a standard 52 card deck, the chance of drawing the 6 of hearts (or any specific card for that matter) is 1/52.

What is the probability of 4 cards being red if all the red faced cards and black faced cards numbered 2-9 are put into a bag and randomly drawn?

The probability of the first card being red is 16 in 32. The probability of the second card being red is 15 in 31. The third is 14 in 30. The fourth is 13 in 29. Multiply these probabilities together and you get 16 x 15 x 14 x 13 in 32 x 31 x 30 x 29, which is equal to 43680 in 863040 or about 0.0506.