Probability

The probability of drawing a queen, king, or ace from a standard deck of 52 cards is 12 in 52, or 3 in 13, or about 0.2308.

Find the probability of getting a sum of 7 and call that p(7). Now the complement rule says 1-p(7) is the probability of not getting 7.
The ways we get 7 are 1 and 6, or 2 and 5, or 3 and 4.

If you make a table with 1-6 on the top and 1-6 on the side, you can let each entry in your table be the sum of the top row and the side column. Since this is a 6x6 table, you can see
there are 36 outcomes.
6 of those outcome result in a sum of 7.
They are:

1+6
6+1
2+5
5+2
3+4
4+3

So p(7) =6/36 or 1/6. P of not getting 7 is 1-1/6=5/6

First calculate the probability of NOT getting a single 5. This probability is 5/6 x 5/6 = 25/36. Therefore, the probability of getting at least one 5 is the complement thereof, that is, 1 - 25/36 = 11/36.

it depends on the unit rate you are using but here are some examples

mph= miles per hour

kph= kilometres per hour

fps= feet per second

cps= centimetres per second

3 in 52 (jack, queen, king of spades)

The answer depends on what the underlying probability distribution function is.

Most statistical textbooks will contain tables for the binomial, Poisson, Standard Normal, Student's t, Fisher's F, Chi-squared, Pearson's r tests. Then there are lots of non-parametric tests (Spearman's Rank, Mann Whitney U, Kolmogorov-Smirnoff for example) for which there are other tables but these are less widely published. And lastly, there are tests for even more esoteric distributions.

It is normal for the ear canal to have some yellowish-brown earwax

provide one business-related example each, with explanation, for mutually exclusive and independent events

Yes, you can. Just get 2 decks of cards.

Assuming a standard 6-sided die with numbers 1-6, the probability is:

(1/6) * (1/6) * (1/6) = 1/216 = 0.004629 = 0.4629%

If you are rolling more than three dice, the odds improve dramatically.

There are 6 black face cards in a standard deck of 52 cards, so the probability of drawing a black face card in one try is 6/52 = 0.115

depends on what subject: for psychology, stress is elevated more when people are suprised with new unpredicted challenges rather than handling a known stress.

In an experiment, it would mean the variables are not related and another confounding varialbe is affecting the change, statistical indifference?

12%

French Playing Cards Got Their Face Card Designs because they were named after, and designed to look like, actual historical figures.

The King of Hearts was Charlemagne;

the King of Diamonds was Julius Caesar;

the King of Clubs was Alexander the Great,

and the King of Spades was King David from the Holy Bible.

Yes, it's possible for a mutation in the chromosome to produce otherwise-identical twins with opposite genders. But generally no, identical twins have the same gender. (but fraternal twins have different genders just as often as any siblings)

It is said in Isaiah that he will be the Messiah, and in another chapter that he would die for the sins of the world.

Roughly: 1/2 * 1/2 * 1/2 = 1/8.

To get an exact answer, we'd need to know whether these guesses are completely random, or if the guesser is using a strategy (e.g. if the first was black, is the guesser going to choose red because there are more red than black cards left or not). Using a strategy would make the guesser get them all right slightly more than 1/8th of the time (the exact odds can be calculated). Guessing randomly will, on average, make you right 1/8th of the time.

There is no evidence to support the hypothesis that you will eat more when you are having a boy then a girl as opposed to having a girl and then a boy.

300,000,000,000 m/s

Assuming no student is intersex, the answer is 3.

The lowest hand in standard poker is 2, 3, 4, 5, and 7, not in the same suit.

It means the position [of an observation] in an ordered data set.

Yes, if it is a fair coin.

Good cos that's what I bin doin!On one site the board with the numbers on is disalpyed back to front , i.e. with the number 1 on the right hand side.So I still place my chips starting the sequence from the left hand end, and moving them as per the worksheet, so although the actual numbers differ, the position of the chips stay the same as shown in the worksheet.If you get what I mean! Same thing but different .