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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
Yes, but that begs the question: how large should the sample size be?
Can you use the normal distribution to approximate the binomial distribution. Give reason?
Yes, and the justification comes from the Central Limit Theorem.
How do you find the semi-interquartile range with only the mean and standard deviation?
In general, you cannot.
If the distribution can be assumed to be Gaussian [Normal] then you could use z-scores.
What is probability explain conditional probability?
Probability is the chance of an event occurring. For example when flipping a coin you have a 50% chance that it will land on heads and a 50% chance that it will land on tails since there are only two possibilities.
Conditional probability refers to when one event is dependent on another event occurring. It can also be written as the probability of an event B occurring after event A has already occurred. The notation for conditional probability is P(B|A). (Note: this does not mean B divided by A but probability of B after A)
When two events are dependent, the probability of them both occurring is:
P(A and B)=P(A)P(B|A)
So for example: 53% of residents have home owners insurance. Of them, 27% has auto-insurance. If a resident is selected at random, what is the probability they with have both insurances?
Let H stand for home owners insurance = 53% or 0.53
Let A stand for auto insurance = 27% or 0.27
P(H and P)=P(H)P(A/H)
=(0.53)(0.27)
= 0.1431
So the probability of residents have both home owners and auto insurance is 0.1431 or 14.31%
The answer is 11C2 * 8C3 = 55*56 = 3080 ways.
How can you use odd to find probability?
Odds of A to B in favour of an event states that for every A times an event occurs, the event does not occur B times. So, out of (A+B) trials, A are favourable to the event. that is, the probability of A is A/(A+B).
The binomial and Poisson distributions are examples of discrete probability distributions?
discrete & continuous
Theoretical probability.
What is the probability of flipping a coin and getting 1 head and 1 tail in any order?
50% chance: Here are the four possibilities: H.H, H.T, T.H, T.T; where the first letter is the first flip, and the second letter is the next flip (H means heads and T means tails).
So out of the 4 possible outcomes, 2 of them result in one heads and one tails. 2/4 = 50%.
The above answer is wrong. It does not account for some possibilities like (4,5) and it duplicates (2,3) and (3,2) in the list that it gives. Accounting for all of this, changes the number of outcomes that satisfy the question to 32. So it is 32/36 not 28/36.
A note to students using a site for homework: Just because someone posts or gives you an answer, don't assume that it is correct. Question it and prove it to yourself. (even my answer) Use their answer(s) to help you understand the problem and approach. Don't just take their answer as being correct.
This is not an attack on the person who supplied this solution. Unintentional mistakes and typographical errors are possible in the real world. This is really a warning for those students that may be using sites like this. Don't just blindly accept answers provided. Don't just stop when you see an answer that someone says is correct. (or even if 1000's of people imply that it is correct) Seek to understand their approach and solution, and you will gain a greater benefit than just getting an answer. In the words of Yoda "A benefit greater than just an answer you will get, hmm? Yes, Yes."
A single fair die is rolled what is the probability that either an even or an odd number is rolled?
1.00 or 100%.
Look at the possible outcomes: 1, 2, 3, 4, 5, 6. In this range, what are the even numbers: 2, 4, 6. What are the odd: 1, 3, 5. So the set of (even or odd) numbers is the union of odd numbers and even numbers. This is the same as the set of possible outcomes. Therefore it will happen, so 100 percent chance (or 1.00)
When two fair dice are rolled find the probability that the sum is even and greater than 8?
Probably.
The normal distribution, also known as the Gaussian distribution, has a familiar "bell curve" shape and approximates many different naturally occurring distributions over real numbers.
What is the probability of chossing 12 marbles from a jar in numercial order?
The probability of picking the #1 marble on the first draw is 1/12.
If you've done that, then the probability of picking the #2 marble on the second draw is 1/11.
If you've done that, then, the probability of picking the #3 marble on the third draw is 1/10.
If you've done that, then, the probability of picking the #4 marble on the fourth draw is 1/11.
etc.
etc.
So the probability of doing all of them in sequence is (1/12) x (1/11) x . . . x (1/1).
That's exactly the reciprocal of (12!). According to my $1.49 calculator, your chances
of success without peeking amount to about
0.00000020877 percent (rounded)
Not a smart bet.
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 probability of drawing a king or queen from a deck of cards?
There are 4 kings and 4 queens in a deck of 52 cards. The chance of drawing a king is 4 in 52 (or .077 in probability terms). The probability to draw either a king or a queen will be twice as high (.154)
What is the probability of drawing either a Jack or a 5 from a deck of cards?
Since there are four jacks in a deck of 52 cards and, likewise, four "fives", the odds of drawing either a jack or a "five" are 8/52 or two in thirteen.
The probability of drawing a Jack is one in thirteen.
The probability of drawing a "five" is one in thirteen.
What is probability of drawing a 5 from a deck of cards?
5/52, since there are usually 52 cards in one deck of cards.
What is the theoretical probability that the coin lands heads up when tossed?
1/2 (equal to 0.5, or 50%).
How many even numbers are between 32 and 60?
There are 13 even numbers between 32 and 60, namely, 34, 36, 38, 40, 42, 44, 46, 48, 50, 52, 54, 56, and 58.
How many red face cards are there in a set of playing cards?
The same number as there are black face cards. The face cards are King, Queen and Jack (they have faces). There are two red suits - hearts and diamonds. Therefore, two red Kings, two red Queens and two red Jacks. Six red face cards altogether.
What is the most common sum when rolling two dice?
7. This is because there are six different combinations (1-6, 2-5, ... 6-1) that yield 7. In the long-term average, you can expect one out of every 6 rolls to be a seven.
#----------------probability to get it
2----------------1/36
3----------------1/18
4----------------1/12
5----------------1/9
6----------------5/36
7----------------1/6
8----------------5/36
9----------------1/9
10---------------1/12
11---------------1/18
12---------------1/36
What does at least as large as mean?
It means the size is the same or larger than the item being referred to.
What is the distribution with an means of 0 and a standard deviation of 1?
It is called a standard normal distribution.
What is an acceptable standard deviation?
An acceptable standard deviation depends entirely on the study and person asking for the study. The smaller the standard deviation, the more acceptable it will be because the less likely there are to be errors.
