Probability

Well the universe in infinitely large with plenty of other solar systems, so to believe that life started on some other planet than ours somewhere out there isn't wrong. Whether they are more advanced then us is another thought.

Actually, although it may seem like it, it is not 50-50. The answer's more like 55-45 This is because the 'head' side is heavier than the 'tails' side. So it is more likely to be tails 3 heads 1

There are 12 face cards in a standard deck of 52 cards. The odds of the first card being a face card is 12/52. If the first card drawn is a face card then there are 11 face cards remaining in the deck of 51 cards. The odds of a second draw of a face card is then 11/51. If both the first two cards drawn were face cards then the deck has 10 face cards in 50 total card. The odds of the third card also being a face card is 10/50. The total probability is (12/52)*(11/51)*(10/50) = 0.009954751 or just under one percent of the time.

The probability of something that is certain is 100% The probability of something that is completely impossible is 0%

25% or 0.25 Probability of one tail is 0.50. Since two tails are independent events, the probability is 0.5 x 0.5 = 0.25

cos(5/n) = cos(0) --> 1

When considering the probability of two different events or outcomes, it is essential to clarify whether they

are mutually exclusive or independent. If the events are mutually exclusive, then the probability that either

one or the other will occur equals the sum of their individual probabilities. This is known as the law of

addition.

If, however, two or more events or outcomes are independent, then the probability that both the first and

the second will occur equals the product of their individual probabilities. This is known as the law of

multiplication.

The probability of heads on each of the coins is 1/2 or 0.50, and the die (we will assume a fair die, numbered 1 to 6) coming up 4 is 1/6. So we have: 1/2 x 1/2 x 1/6 = 1/24 = 0.04167 or approximately 4.2% chance of these three events occurring.

True

This is correct. For example the probability of tossing a coin so that it comes up heads is 1/2 and the probability that it comes up tails is also 1/2. The probability that it will come up either heads or tails is 1.

You didn't mention whether this was one die or two dice. If one die, then the possibilites are 1 and 3, so this is 2 outcomes out of 6 or 1/3. Probability can stated as 0.33 or 33%. If two die, there is 2 possibilities: (1,2) and (2,1) out of 36 outcomes which is 1/18 = 0.055. Probability can be stated as 0.055 or 5.5%.

See related link, In quantum mechanics, a probability amplitude is a complex number whose modulus squared represents a probability or probability density. For example, the values taken by a normalised wave function ψ are amplitudes, since |ψ(x)|2 gives the probability density at position x. Probability amplitudes may also correspond to probabilities of discrete outcomes.

A single fair die has the numbers 1 to 6, so when a single fair die is tossed the

probability of obtaining a number different than 11 is: P(x diff than11) = 1.

You carry out the experiment a large number of times. Count the number of times it was carried out (n). Count the number of times in which the particular outcome occurred (x). Then, the experimental probability for that even is x/n.

dont grab her head unless she's into that

There are 12 months to choose from There are 7 months with 31 days in them.

The probability of choosing a 31-day month is 7/12.

There are 30 students total. 10 of them have brown hair. 10/30 equals 1/3. Answer: 1/3

If an event has a probability of 1, it will happen no matter what.

The probability of rolling a number x, such that 1 ≤ x ≤ 6, on a standard 6 sided die, is 1.

The probability of the temperature being > absolute 0, is 1.

With a standard 52 card deck of card, P(drawing a spade or drawing a club or drawing a heard or drawing a diamond) is 1.

In these situations, there is no variable that can affect the event. It will happen no matter what.

24 out of 6497400 = 1 out of 270725.

There are fifty-two cards in a deck. Twelve are picture cards (king, queen, jack for each of four suits.) So your chances of getting a picture card are twelve out of fiftytwo, which you can reduce down to three out of thirteen.

0.25 binomial distribution, where p=0.5, q=0.5, x=3, n=4 4!/(3!*1!)*0.530.51 = 0.25 Also can be solved by identifying each event possible and related probability. There are 4 ways this can occur (first child is a girl, second child is a girl, third child is a girl and fourth child is a girl) and there is a 0.54 chance of each of these events occurring. Prob= 4 *0.0625 = 0.25

The chance of picking a heart is 1/4 as there are four suits. The chance of picking an ace is 1/13, as there are 4 aces in a deck of 52. If I want the probability of drawing a heart of an ace, I can add these probabilities together, but I have double counted on possibility, the ace of hearts. So: Probability = 4/52 + 13/52 - 1/52 = 16/52 or 4/13 Probability = 0.308 expressed as a fraction.

A probability can never be greater than 1.