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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
Not possible to tell you without knowing how many students' there are, and what distribution you wish to use (i.e normal distribution, t-distribution etc...)
The probability that i am late for work is 0.4 what is the probability that i am not late for work?
the probability is 1(being the maximum)- the probability you have allredy got.
the answer is 0.6
How many outcomes are there in the rolling a die in an even number?
there's 1/3 chance of getting an even number in a die, hon
What is the statistical possibility of repeating a pattern in a kaleidoscope?
The probability of identical repetition is 0 since there are infinitely many positions and orientations for each piece in the kaleidoscope.
Can -1.5 be the probability of an event?
No. The probability of an event ranges from 0 (the event will not happen) to 1 (the event will happen).
What is the probability of Drawing 4 aces from a deck of cards?
If you don't replace the cards then it's:
(4/52 x 3/51 x 2/50 x 1/49)
Couldn't be bothered working it out
How many ways can the word sells be arranged?
There are 5 letters to pick for the first spot in our new arranged word, 4 letters in the 2nd spot 3 for the 3rd spot 2 for the fourth spot and only 1 for the last spot. multiple those together (5*4*3*2*1) but because we have duplicate letters we have to divide by our number of duplicates (2) so our final number is 120/2 or 60 ways hope this helps =D
Simple random sampling.
Number of elements int the event space of rolling a sum of 7 with two dice?
When you roll two dice, a 7 may occur as (1,6),(2,5),(3,4),(4,3),(5,2),(6,1)
There are 6 elements in the event space.
What are the properties of a standard normal curve?
It is a normal curve with mean = 0 and variance = 1.
What is the probability of rolling a number divisible by 3 with two rolls of a fair number cube?
The probability of rolling a number divisible by three on a fair die (3 and 6) is 2 in 6, or 1 in 3, or about 0.3333. Since there are 36 permutations of rolling two dice, the probability, then, of rolling (at least one) number divisible by three on two rolls of a die is 19 in 36, or about 0.5278. Simply count the number of desired results, and divide by the number of possible results, as I have done below.
11
12
13 x
14
15
16 x
21
22
23 x
24
25
26 x
31 x
32 x
33 x
34 x
35 x
36 x
41
42
43 x
44
45
46 x
51
52
53 x
54
55
56 x
61 x
62 x
63 x
64 x
65 x
66 x
If, on the other hand, you are looking at the probability of rolling a sum divisible by three, consider ...
11 2
12 3 x
13 4
14 5
15 6 x
16 7
21 3 x
22 4
23 5
24 6 x
25 7
26 8
31 4
32 5
33 6 x
34 7
35 8
36 9 x
41 5
42 6 x
43 7
44 8
45 9 x
46 10
51 6 x
52 7
53 8
54 9 x
55 10
56 11
61 7
62 8
63 9 x
64 10
65 11
66 12 x
... which is 12 in 36, or 1 in 3, or about 0.3333.
Is the higher the standard deviation the greater the variation?
Yes. Since the standard deviation is defined as the square root of the variance, it can be said that the higher the standard deviation, the higher the variance.
What does standard deviation value indicate?
The standard deviation for a set of data is a measure of how much the individual observations are spread about their mean. A small value indicates that they are all tightly packed around the mean value whereas a large value indicates that the observations are not so close together.
How do you calculate a raw score from a z score?
z = (x - μ) / σ is the formula where x is the raw score and z is the z-score. μ and σ are the mean and standard deviations and must be known numbers.
Multiply both sides by σ
zσ = x-μ
Add μ to both sides
μ + zσ = x
x = μ + zσ
You calculate the raw score x , given the z-score, μ and σ by using the above formula.
What is the probability of getting tails on the first toss and heads on the second toss?
1 in 2 to get tails on first toss
1 in 2 to get heads on second toss
To get tails on first toss and heads on second toss, probability is
1/2 x 1/2 = 1 in 4
As there are 4 queens in a 52 cards deck the probability is P=4/52=1/13
If I understand the question correctly, the answer is 1/120.
What are odds of being murdered in lifetime?
1 in 33.8
The current world homicide rate is 7.6 murders per 100,000 people which translates to a .0076% chance per year. Assuming a 100 year lifespan that would theoretically mean a .76% chance of getting murdered in your lifetime, but that is totally off from the true value because likelihood changes based on many factors, the most basic of which include location and age. I don't know where the person who wrote 1 in 33.8 (2.96%) got that statistic but by my math that is an extreme overestimate unless you live in southern Africa or central America.
What properties distinguishes standard normal distribution from other normal distribution?
The normal distribution can have any real number as mean and any positive number as variance. The mean of the standard normal distribution is 0 and its variance is 1.
a is true.
This depends on if you want at least two of the dice to be the same number, or exactly two of the dice to be the same number.
For the first scenario: Roll the first die, and get a number. Roll the second die, and there is 1/6 chance that it'll be the same as the first one. Now if it's not the same (5/6 chance) then the third die has 1/6 chance of being the same as the first, and 1/6 chance of being the same as the second. So we have:
1/6 + 5/6*(1/6 + 1/6) = [simplified] 4/9 or about 44.44%chance that at least two are the same.
For the second scenario: With three dice, there are 216 possible outcomes (6 x 6 x 6). So we know that there is a 4/9 chance that 2 or more will be the same: (4/9)*216 = 96 outcomes. Now 6 of these outcomes will have all three dice the same, so subtract 6 from 96 = 90. There is a 90/216 = 5/12 or 41.67% chance that exactly two dice are the same.
What is the probability of drawing a king or a heart from a standard deck of cards?
there are four kings and thirteen hearts. The king of hearts counts as either, so it can only be counted once.
13+3=16
There are 52 cards in the whole deck, so 16/52
16/52=8/26=4/13
What is the probability of drawing the six of clubs from a standard deck of cards?
If only one card is drawn, at random, then it is 1/52.
