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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 mean and standard deviation for the standard normal curve?
Mean = 0
Standard Deviation = 1
What is the probability of rolling a 4 or 5 on a six sided cube?
The chance of rolling a certain number on a dice is 1/6, so the chance of rolling a 4 OR 5is 2/6.
But if you have two dice you have the most chance of rolling a seven (6/36 or 1/6)
What is the probability of picking a king from a deck of cards?
4 in 52, or 1 in 13, or about 0.0769.
2/12 or 1/6
What is the probability of choosing odd number?
If you chose the number out of an equal numberof odd and even numbers then it would be 50% chance.
Like if you chose an odd number out of the numbers from 1 to 100
20
What is the probability of getting neither an ace nor a heart?
The probability of not getting on ace is 48 in 52, or 12 in 13, or about 0.9231. The probability of not getting a heart is 39 in 52, or 3 in 4, or 0.75.
These two events, however, are not exclusive, so you can not just multiply them together. You need to look at the big picture. But look at the summary below.
There are 4 aces in the deck, one of which is a heart. There are 13 hearts in the deck, one of which is an ace. The inclusion set is 16 cards that are either an ace or a heart. Flip this over by subtracting from 52 and you get 36 cards that are not an ace nor a heart.
So, the probability of getting neither an ace nor a heart is 36 in 52, or 18 in 26, or 9 in 13, or about 0.6923.
Now, it turns out that you could have just multiplied the probabilities and obtained the same result. This worked because you were looking at inverse probabilities. It would not have worked if the question was to find the probability of getting an ace or a heart.
In summary, I went ahead and showed the thought process involved to illustrate a point - that you need to understand the set of possible outcomes in order to make a correct calculation.
What are the odds of rolling a 7 with two dice?
The odds of rolling a 7 with two dice is 6 in 36, or 1 in 6.
Two six-sided dice will yield 36 different possible combinations in one roll. Note that rolling 1 and 6 is not the same as rolling 6 and 1. Yes, they both equal 7, but for the purposes of determining probability, each throw is unique. There are 6 possible ways to throw a 7, and they are 1-6, 2-5, 3-4, 4-3, 5-2, and 6-1. With 36 different possible outcomes, that means that 6 in 36 of those outcomes results in a 7. The odds of getting a 7 are 6 in 36, or 1 in 6 (reducing the two terms).
We sometimes see the terms "odds" and "probability" interchanged, but it is important to distinguish them mathematically. If you are interested in the probability of rolling a 7 in a single roll of a pair of dice, use the link to the Related question.
What is the probability of scoring 11 when you roll two dice?
Assuming they are fair dice that are numbered 1 to 6, the probability is 2/36 = 1/18
What is the probability of throwing one dice twice and getting a 1 both times?
The probability of throwing a dice an getting a 1 is 1/6. The probability of getting
a 1 the second time is 1/6. The probability of both events, getting a 1 the first
time and a 1 the second time is; P(1,1) =
(1/6)∙(1/6) =
1/36 =
0.02777... ~ 2.8%
What is the number that describes the likelihood a certain event will occur?
The probability of that event.
What is the probability of rolling an odd number or an even number on a cube?
To answer this problem you first see how many even and odd numbers there are. There are 3 odd and 3 even. so the fraction for even and odd is 3/6 so then in simplified form it is 1/2. If they ask to express the probability as a decimal number it would be .5 or.50
It all will depend on what kind of (recessive or dominant) alleles are responsible for the colorblind characteristic and what kind of alleles do the parental genes have.
P(A|B)= P(A n B) / P(B)
P(A n B) = probability of both A and B happening
to check for independence you see if P(A|B) = P(B)
What is the chances of Rolling a 3 or 4 from two dice?
Assuming you are rolling a six-sided dice, it is 1/3 for one dice and 2/3 for two dice.
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.
