Probability

6 outcomes each roll, 3 rolls. 6*6*6 = 216.

1/2 or 0.5

Assuming they're numbered the way you're implying, you have a 2 out of 3 chance (2/3, 6/9) of getting an even tile. That's 66.66666666etc

1/6,3/6

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The probability of rolling a 2 is: P(2) = 1/6

The probability of rolling an even number is: P(even) = 1/2

The result on the second roll is independent of the result in the first roll.

The probability of rolling a 2 and then rolling an even number is:

P(2,even no.) = (1/6) ∙ (1/2) = 1/12 = 0.08333... ≈ 8.33%

prognosis

There is no specific name for that activity.

If the order of choice does not matter, the expression is 25 X 24 X 23 X 22 X 21 X 20 X 19 X 18 X 17, which can also be written as 25!/16!.

Since the normal distribution is symmetric, the area between -z and 0 must be the same as the area between 0 and z. Using this fact, you can simplify this problem to finding a z such that the area between 0 and z is .754/2=.377. If you look this value up in a z-table or use the invNorm on a calculator, you will find that the required value of z will be 1.16. Therefore, the area between -1.16 and 1.16 must be approximately .754.

The significance of the mean of a probability distribution is that it is the most probably thing to happen. The mean is the average of a set of values. If it is the average of a probability distribution, it is the most probable part.

8:6

The standard deviation of the scores 100 92 94 95 81 82 87 89 71 71 73 61 62 68 51 55 is: 15.1921

If each coin is a different color, then there are 32 possible outcomes.

If you can't tell the difference between the coins, and you're just counting

the number of heads and tails, then there are 6 possible outcomes:

5 heads

4 heads

3 heads

2 heads

1 heads

all tails

2

No. If you keep track of all the numbers that are rolled then there are six possible outcomes, a binomial has only two. It is a multinomial distribution.

You need a formula for this.

If the probability (in one toss) of getting head is "p", then the probability of getting exactly k heads out of n tosses is:

(n,k) p^k (1-p)^(n-k)

where (n,k) denotes the number of combinations of k elements among n.

You should also know that (n,k) = n! / (( n-k)! k! )

so here, with n=8, k=6, and p=.5 you have

(n,k) = 8*7 / 2 = 28

and your probability is :

28 * 1/2^6 * 1/2^2 = 28 / 256 = 7 / 64

3.92

The deviation is 1694.

2.6 = 26/10 = 13/5

1-.015 = .985

n event A is said to be less probable than an event B if the probability of A occurring is smaller than that of B occurring.

The sample mean is an unbiased estimator of the population mean because the average of all the possible sample means of size n is equal to the population mean.

Suppose probability of drawing a red marble is p.

Then p = 2*(1 - p)

that is p = 2 - 2p

or p = 2/3

So 2/3 of the 24 marbles are red

24*(2/3) = 16 red marbles.

it doesn't exist.

1/2 * 1/2 * 1/2 = 1/8 = 12.5%

Random sample