Probability

6/49

It is p3.

The sample space of rolling a die is [1, 2, 3, 4, 5, 6].

They all have the same probability, even though in the past some have been drawn more often than others. It's still completely random though!

If you reach into the bag, grasp, and withdraw your hand,

the probability of pulling something out is about 100%.

The chances of getting 4 of a kind is: 13 * 48! / 52! = 1 in 499,800

You stand a better chance of being struck by lighting than mauled by a bear. According the Ontario Ministry of Natural Resources there are about 10 to 20 bear attacks in North America every year, with about 2 or 3 deaths.

Not sure what the odds are, but given the huge number of people that go tromping through the forest and the close proximity man and bear have to one another, the odds are pretty low.

Th dice have 6 sides and each side have one number from 1-6 so that there are 6 possible outcomes if you rolled the dice

yes

One in four.

The possibilities are;

Red Red

Blue Red

Red Blue

Blue Blue

That means the number of ways an event can occur is one, while the number of possible outcomes is four. The definition of probability is the number of ways the event can occur over the number of possible outcomes, hence 1/4

2, 4, and 6 are multiples of 2. This is 1/2 of the face, so the probability is 1/2

There are six faces numbered 1 to 6 so:

6 + 5 + 4 + 3 + 2 + 1 = 21

Depends, but if you're talking theoretically the answer would be 1:6

You simply have a function with two (or more) arguments which are continuous.

For example, z = p(x,y) would be a surface in 3 dimensions where x and y are the values taken by the two variables, X and Y respectively, and z is the probability associated with them.

w = g(x,y,z) would be a hyper-surface in 4-dimensional space and so on.

There can be no set value.

An acceptable level of sampling error for a company making high precision machine parts is likely to be very different from the sampling error for household incomes, for example.

Each face has probability 1/6, since it's one face out of the possible 6.

So the probability of either of two faces is 2/6, or 1/3.

King of Hearts (1/52)x Queen of Hearts (1/51)=1/2652

If the paired differences are normal in a test of mean differences, then the distribution used for testing is the

It is a diagram of all possible outcomes of a probability experiment.

For a structure (usually a tower) that is perpendicular to the ground, if the center of gravity were to go a distance over its base, it will fall over. Can be seen in the leaning tower of piza. The reason it has not fallen over is because its center of gravity has not exceeded the length of its base.

The probability of getting only one tails is (1/2)7. With seven permutations of which flip is the tails, this gives a probability of:

P(six heads in seven flips) = 7*(1/2)7 = 7/128

Coin landing of heads = 1/2 (either heads or tails)

Dice landing on even number = 1/2 (no matter how many faces there are on the dice unless the number of faces is odd, 6 sided=3 even sides/6)