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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
Why are the With Replacement and Without Replacement probabilities different?
Because with replacement, the total number of possible outcomes - the denominator of the probability ratio - remains the same. Without replacement the number of possible outcomes becomes smaller.
Can experimental probability change?
Yes. Each repeat of the trial is likely to alter the probability.
What is the rejection region and how does it relate to Z score and the p value?
The rejection region for a hypothesis is the set of values such that if the null hypothesis is true, then the probability of observing a value for the test statistic (the z-score) for a random variable that may be assumed to have a Normal distribution, is at least as great as the value actually observed is less than by chance. The latter is an arbitrarily selected value called the p-value - often 5% or 1%.
Note that z-scores may be used only if the random variable is approximately Normally distributed - not otherwise.
What is the probability the sum of dice is not 3?
The Answer Is:
34/36 = 17/18 = .94444 or 94.444 %
To get this Answer, You Do The Following:
Find what the probability is that the SUM of 2 Dice IS 3.
This means:
Die 1 equals 1 & Die 2 equals 2
or
Die 1 equals 2 & Die 2 equals 1
So ONLY 2 Variations of the Dice ALLOWS for them to SUM UP TO 3
Now Determine the TOTAL number of VARATIONS (SUMMING UP TO ANYTHING):
Since a Die Has 6 Sides and We need to Calculate the Variations of 2 DICE with 6 SIDES, We can Find the TOTAL NUMBER OF VARIATIONS by Doing this:
TOTAL VARIATIONS FOR 2 DICE = (NUMBER OF SIDES)(NUMBER OF DICE)
36 = 62
Then since we know ONLY 2 Variations OUT OF ALL VARIATIONS ALLOW THE DICE TO SUM UP TO 3 we know THE PROBABILITY of the Dice Summing up to 3 is:
(Number of Variations That SUM up to 3) / (TOTAL NUMBER of Variations)
2 / 36 = 1 / 18 = .05556 or 5.556 %
And Since We need to Determine the Probability of the Sum NOT being 3 WE need to Subtract the Probability of the DICE Summing up to 3 FROM 100% (or 36/36 = 1.00 = 100%)
So To Get The ANSWER We Just Do a SIMPLE subtraction:
SINCE: 100% = 1.00 = 1/1 = 36/36
So We Do The Subtraction To Find WHAT PROBABILITY The SUM IS NOT 3:
36/36 - 2/36 = 34/36 = 17/18 = .94444 or 94.444 %
What is a reasonable degree of medical probability?
The answer depends largely on the probability of coming to an incorrect diagnosis or deciding on a wrong treatment, and the consequence of making that mistake.
5/6 times 5/6 times 5/6 = 125/216
There are 52 cards in the deck.
The probability of drawing the ace of spades on the first draw is 1/52 .
Since you don't put the first card back, there are then 51 cards in the deck.
The probability of drawing the 4 of spades on the second draw is 1/51 .
The probability of both occuring is (1/52) x (1/51) = 1/2,652 = 0.037707 % (rounded)
What is the probability of obtaining four tails in five flips of a coin?
Assume the coin is fair, so there are equal amount of probabilities for the choices.
There are two possible choices for a flip of a fair coin - either a head or a tail. The probability of getting a head is ½. Similarly, the probability of getting a tail is ½.
Use Binomial to work out this problem. You should get:
(5 choose 4)(½)4(½).
- (5 choose 4) indicates the total number of ways to obtain 4 tails in 5 flips.
- (½)4 indicates the probability of obtaining 4 tails.
- (½) indicates the probability of obtaining the remaining number of head.
Therefore, the probability is 5/32.
The probability is zero, because there are no red balls in the bag.
In what ways is the word 'brogue' used?
The word 'brogue' is most commonly used in two ways, both associated with Ireland. It can be used to describe the Irish accent. It is also a type of shoe popular in Ireland and also the Scottish Highlands.
30.8%
There are 13 club cards + 3 additional jacks (from diamonds, hearts and spades) for a total of 16 cards out of 52
Simplifying that the probability is 4 out of 13 or 30.8%
How do you guess somebodys age?
look at them. up and down. guess there age. if there tall and have pimples they are in between 12-16 so just look at them and guess how old they r. if u cant .... JUST ASK THEM!!! LOL
What is the probability that you roll a 5 and a 2?
We assume a 6 sided fair die. Now, note that the probability of rolling any number is independent of the probability of the outcome on the next role of the die. In probability terms we say the two events are independent this implies that is we look at the probability of A and the probability of B the probability of A and B is P(A)xP(B) Since we are look at the probability of a 5 and there are 6 possible outcomes, the probability of a 5 is 1/6 and a similar argument tells us the probability of a 2 is 1/6. Now, since they are independent, the probability of a 5 AND a 2 is 1/6 x 1/6=1/36 If you want to consider dice with different shapes and fewer than 6 numbers, the answer will change. I have considered only a 6 sided fair die since if one understands how this works, one can generalize to other scenarios. The commonly used die is called a cubic polyhedron. Dice come as many different polyhedra and these make for interesting probability questions.
The answer is 9/12 or 3/4 probilty that you will pick a green or yellow marble.
Is it harder when getting a job if you were homeschooled?
Yes it's hard to get a job when you were homeschooled. But hardwork & determination makes man perfect & everyone can effort for getting job whatever they studied.
What is the function of the pons?
The pons contains nuclei that relay signals from the cerebrum to the cerebellum, along with nuclei that deal primarily with sleep, respiration, swallowing, bladder control, hearing, equilibrium, taste, eye movement, facial expressions, facial sensation, and posture.
Does a previous roll of the dice affect the odds what roll?
No. Each roll is independent of the previous roll (on a fair dice). The same is true for flipping a coin. Getting a six your first roll does not make you any more or less likely to roll a six the second time.
What is the probability of an alien existing?
there are 10 raise to power 11 galaxies consisting of 10 raise to power 11 stars... so if around every star an earth like planet exists the probability goes to 10 raise to power 22
13/24 * 12/23 * 11/22 * 10/21
1st 2nd 3rd 4th
= .06728 or 6.72877%
Since 7 is already a non-face-card, we know that there is 4 of each suit, and 3 royalty. 4(3) = 12, 52 - 12 = 40. 40/52 = 10/13.
