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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 probability of picking a Jack Queen or King from a pack of cards?
> 1/13
Actually, there are 12 face cards in a deck, so the probability is 12/52 = 3/13 = 0.231
What is the sum of the probabilities of all possible outcomes?
The sum of the probabilities of all possible outcomes is 1.
How many distinguishable permutations of letters are possible in the word critics?
The word critics has 7 letters which can be arranged in 7! = 7 * 6 * 5 * 4 * 3 * 2 * 1 ways. To see this, imagine placing one of the 7 letters in the first slot. Then place a different letter in the second slot (there are only 6 letters left now), then 5 and so on down to 1. We multiply because we must do each of these steps to create a rearrangement of the word critics.
The problem then is that critics contains 2 'c's and 2 'i's, which are indistinguishable. For example, we might count "rtiicsc" several times by switching the places of the 'i's or the 'c's even though we cannot tell the difference in the word. So, we must divide out the repetition, by dividing by 2! = 2 * 1 twice. This corrects the over-counting from the duplicate letters.
So the correct result is 7!/(2! * 2!) = 1260 distinguishable permutations.
To get a seven on either roll, you would have a one in six chance. That's because no matter what value one of your dice is, there will always be one other value that the other one can be in order to add up to seven.
Your chance of rolling two in a row then would be (1/6)2, or 1/36.
Assuming 6 sided dice, each die could roll 1-6, so:
X| 1 2 3 4 5 6
1| 2 3 4 5 6 7
2| 3 4 5 6 7 8
3| 4 5 6 7 8 9
4| 5 6 7 8 9 10
5| 6 7 8 910 11
6| 7 8 9 101112
These are all the possible outcomes of a roll of 2 dice. We see that there are 6 rolls that give us 7, so we have 6/36, or 1/6. That means that we have a 1/6 chance for a 7 each roll. Then, if we have a 1/6 chance for each in a row, we have 1/6*1/6, or 1/36 chance of rolling two 7's.
Why sample is chosen instead of testing the entire population?
Sometimes, there are too much of the thing you are testing, so it is a lot easier to just take a sample.
For example, if there were twelve million weeds growing on a field and you wanted to see how many of them were dandelions, it would take forever to count all the dandelions on that field. It is more practical just to take a small sample.
Which steps occurs last in the initiation phase of translation?
The large ribosomal subunit joins the complex.
How many ways can a jury of 7 men and 4 women be selected from 11 men and 16 women?
600600
First, find how many different combinations of men can there be, which is 330; and how many different combinations of women can there be, which is 1820.
Then, multiply them together and you get 600600
What is the probability of getting number three when you toss a cube of 1 through 6?
1/6 or (16 and 2/3)%
What is the probability of getting sum 7 if you throw two dice?
With two dice the following totals are possible
....... Dice A .. Dice B
- 2 - 1 ..... 1
- 3 - 1 ..... 2
- 3 - 2 ..... 1
- 4 - 1 ..... 3
- 4 - 2 ..... 2
- 4 - 3 ..... 1
- 5 - 1 ..... 4
- 5 - 2 ..... 3
- 5 - 3 ..... 2
- 5 - 4 ..... 1
- 6 - 1 ..... 5
- 6 - 2 ..... 4
- 6 - 3 ..... 3
- 6 - 4 ..... 2
- 6 - 5 ..... 1
- 7 - 1 ......6
- 7 - 2 ..... 5
- 7 - 3 ..... 4
- 7 - 4 ..... 3
- 7 - 5 ..... 2
- 7 - 6 ..... 1
- 8 - 2 ......6
- 8 - 3 ..... 5
- 8 - 4 ..... 4
- 8 - 5 ..... 3
- 8 - 6 ..... 2
- 9 - 3 ..... 6
- 9 - 4 ..... 5
- 9 - 5 ..... 4
- 9 - 6 ..... 3
- 10 - 4 ..... 6
- 10 - 5 ..... 5
- 10 - 6 ..... 4
- 11 - 5 ..... 6
- 11 - 6 ..... 5
- 12 - 6 ..... 6
So, there are 36 different combinations of how the dice might land and 6 of those total 7. Therefore it is 6 chances in 36 that you'll get 7, which reduced to 1 in 6.
What to do when the z score is not in the z score chart?
The average z score chart lists z scores with three significant figures.
For example, you can find the z score -1.81 on the chart, but not -1.812 or -1.818.
In the case that you wish to look up a z score with more than three significant figures, round it to three significant figures and then use the chart.
OR
You can also use a calculator if you wish to get more accurate results. The link for calculator is mentioned below.
Is mean directly proportional to standard deviation?
No. Not at all. Whoever told you that fails statistics forever.
Is variance directly proportional to standard deviation?
Variance isn't directly proportional to standard deviation.
What is the probability of rolling a 1 on 2 dice?
Assuming normal dice, the answer is 0, since it is impossible to roll a 1 on 2 dice = the least you can get is 1 + 1 = 2.
You can use the z test for two proportions.
The link below will do this test for you.
When did the study of ergonomics begin?
The study of ergonomics as a way to reduce human error began in the military during the Korean War.
A random variable that is 2.5 times the standard error less than the mean.
What is the probability of selecting a black card?
total cards=52
balck cards=26
So
P(Black)=total balck/total cards
P(Black)=26/52=1/2
What does probability of paternity means?
Probability of paternity (POP) means how likely the man is to be the father. If the result is a 99% (or anything over 64, haha) POP I would say that he's the daddy.
Can the experimental probability of an event be a negative number.if not why?
No; because probability can never be less than zero.
What are the odds of rolling a 6 with two dice?
If the question is: What are the odds of rolling a die with a 6 when rolling two
dice ? . Answer: There are 36 outcomes when rolling a pair of dice, 10 of them
have a die with a single 6 and 1 of them has two 6. So the probability of rolling
one die with a 6 when rolling a pair of dice is P =
10/36 =
0.2777... . The odds
would be (10 to 26) 5 to 13.
If the question is: What are the odds of rolling a sum of 6 when rolling two dice ?
Answer: there are 5 outcomes out of the 36 that give the sum of 6. They are;
(1,5), (5,1), (2,4), (4,2), and (3,3). So the probability for this event is P =
5/36 =
0.13888... . The odds would be 5 to 31.
What is the password for ixl math?
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