Probability

1 in 6. U would of thought it was 5/6 but there aren't five 5s on a dice. There's only1.

If p is the probability that an event will happen once, then the probability that it will happen just twice is p2. The probability it will happen 3 times is p3. The probability it will happen at least once ( ie once or twice or three times ore more times is p + p2 + p3 + ... = p(1-p). For "or" you add probabilities, for "and" you multiply probabilities.

Number of cards in a deck = 52

Number of cards that are spade = 13

Number of cards that are heart = 13

Probability that the card drawn is a spade and heart =

13/52 + 13/52

= 26/52 or 1/2

Simple random sampling.

Logical decision making. Gambling. Odds.

When two dice are rolled, the probability of getting:

2 is 1/36

3 is 2/36

4 is 3/36

5 is 4/36

6 is 5/36

7 is 6/36

8 is 5/36

9 is 4/36

10 is 3/36

11 is 2/36

12 is 1/36

Let sigma = standard deviation.

Standard error (of the sample mean) = sigma / square root of (n), where n is the sample size. Since you are dividing the standard deviation by a positive number greater than 1, the standard error is always smaller than the standard deviation.

It simply means that you have a sample with a smaller variation than the population itself. In the case of random sample, it is possible.

1 in 26

If the digit 0 is allowed then the answer is 1/(10*9*8) = 1/720 = 0.0014 approx.

If 0 is disallowed, then 1/(9*8*7) = 1/504 = 0.0020 approx.

11 outcomes if the dice are indistinguishable, 36 otherwise.

Leaving aside leap years, the probability is 0.0137

1/8.

The probability of flipping a coin three times and it landing on head is 1/2, as a coin only has two sides.

You flip a coin three times, therefore the answer is (1/2)^3 = 1/8.

50/50

That would depend upon what it is that is being rolled.

That would depend entirely upon what it is that is being rolled.

27 three digit numbers from the digits 3, 5, 7 including repetitions.

When you have independent events which have a constant probability of occurrence over an interval of space or time.

Assuming that the births at the hospital are equally likely to be of either gender then the answer is (1/2)4 = 1/16

The probability is 1.

An event will happen or not so its probabilty is between 0 (never happen) and 1 (will surely happen).

The probability is a measure of its chance to happen.

A negative probability would have no sense.

You can think about probabilty this way: imagine a 1-litre bottle, it can be empty (0 litre) or full (1 litre) and any value between 0 and 1 but the value can't be negative.

It does not, so the question is based on a misunderstanding of probability.

Well, there are 9 letters in Tennessee, and, based on the question, you can only use each letter once.

The first letter has 9 possible outcomes.

The second letter only has 8, because you have already used one.

The third would have 7, etc.

9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 322,880

No, not if it is a fair coin.