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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
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.
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.
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 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
95% of the area falls between Z = -1.96 & 1.96.
It has the same shape, mean, and standard deviation as the population.
When you toss or flip a coin it's a 50/50 chance of it landing heads or tails up, so the phrase coin toss is used to describe a situation that can go either way.
How many elements are in the sample space of tossing 3 pennies?
Two outcomes (H,T) flipped 3 times is 23 or 8.
How many queen of hearts are there in a pack of 52 cards?
There is 1 queen of hearts in a pack of 52 cards.
The deck has 52 cards.
There are 4 suits in a deck of cards : Spades, hearts, diamonds, and clubs.
In each one these suits in the deck of cards there is
Ace, 2, 3, 4,5,6,7,8,9,10,Jack, Queen, King
so the deck goes like this
Ace of hearts, 2 of hearts, 3 of hearts and so forth...
Many, many expressions are equivalent to 1.43.
Some examples:
14.3/10
10-8.57
2.86/2
.715*2
What is the distribution with an means of 0 and a standard deviation of 1?
It is called a standard normal distribution.
What is the probability of rolling a sum of 7 with 2 dice?
Te probability of rolling a sum of 7 with two fair dice is 6 in 36, or 1 in 6, or about 0.1667.
Of all the possible combinations of two dice, the sum of 7 has the highest probability, with the other combinations decreasing down to 2 and 12, with probabilities of 1 in 36, or about 0.0278.
