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Probability

The probability of a certain event is a number expressing the likelihood that a specific event will occur, expressed as the ratio of the number of actual occurrences to the number of possible occurrences. In mathematics, it is a measure of how often an event will happen and is the basis of statistics.

14,643 Questions

How big or small can a probability be?

Probability is measure on a scale of 1 to 0

What is the probability of getting a even number and a head when rolling a die and then tossing a coin?

A die has six sides, so the probability of rolling an even number is 1 in 2, or 50-50. A coin has two sides, so the probability of flipping the coin and getting heads is 1 in 2, or 50-50.

The probability that both will happen together is the one in two OF one in two, or one in FOUR chance that both will happen.

So, the probability is 25%.

What is the probability of rolling the sum of 5 or 8 with 2 dice?

Recall that probabilty is the quotient of specific outcome divided by all outcomes. This is a relatively small problem to enumerate, so here goes...

1 + 1

2 + 1

3 + 1

4 + 1 = 5

5 + 1

6 + 1

1 + 2

2 + 2

3 + 2 = 5

4 + 2

5 + 2

6 + 2 = 8

1 + 3

2 + 3 = 5

3 + 3

4 + 3

5 + 3 = 8

6 + 3

1 + 4 = 5

2 + 4

3 + 4

4 + 4 = 8

5 + 4

6 + 4

1 + 5

2 + 5

3 + 5 = 8

4 + 5

5 + 5

6 + 5

1 + 6

2 + 6 = 8

3 + 6

4 + 6

5 + 6

6 + 6

You can see that the number of instances of the parent set is 36, while the number pf omstamces of the desired set is 9. As a result the probability of throwing a 5 or 8 with two dice is 9 in 36, or 1 in 4, or 0.25.

What is the standard deviation of 26 30 34 38 42 46 50?

For the dataset {26, 30, 34, 38, 42, 46, 50}:

n = 7

Σx = 266

Σx² = 10556

µ = 1/n Σx

σ = √(1/n Σ(x - µ)²) = √(1/n Σx² - (1/n Σx)²)

→ σ = √(1/7 × 10556 - (266/7)²) = √(1508 - 38²) = √64 = 8.

Use the computational formula to find the standard deviation of the following set of data 5 7 17 31 45 47 68 85 96 99?

33.79

I used the formula SD = sq rt {Sigma[(x - mean)^2]/n} where sigma means the sum of; ^2 means squared.

Firstly, find the mean of the data = 50.

Subtract each term separately from the mean and square it.

Add these 10 terms and it comes to 11424

Divide by the number of terms, 10 = 1142.4

Then find the sq rt = 33.79.

What is the probability of rolling two 2s followed by 1 on three tosses of a fair die?

If you toss the die often enough then the probability of getting the sequence 2-2-1 is 1: a certainty. The probability of getting the result in the first three tosses is 1/216.

What is the probability that a randomly selected car is a two door hybrid?

The answer depends on where in the world the random selection is taken since the location will determine the mix of cars that the selection is made from.

What is the probability of rolling greater than 4?

Considering that a this is a six-faced die, the probability or rolling a 5 or 6 is 2/6. Or to simplify it, 1/3. This is because there are six sides, and you want to get two out of the six sides.

Is spinning a spinner and then rolling a die independent or dependent?

These are independent events; neither one depends on the results of the other.

What is favorable probability?

Favourable probability is the probability that the outcome that you are looking for does actually occur.

As an aside, "favourable" can be an unfortunate word if you are looking for the probability of an undesirable outcome - being the victim of a fatal incidence. Not many would consider that as being "favourable".

If you spin the wheel 5 times what is the probability of getting 100?

The answer will depend on what numbers are on the wheel, what the variable is (the sum, product or some other function of the individual spins). Since there is no information on these factors, the question cannot be answered.

What is the probability of not rolling a sum of 2 with two fair dice?

If you roll them often enough then the probability is 0. For just one roll, the probability is 35/36.

What are the odds of rolling doubles six times in a row?

Odds of rolling ONE six - 6:1

Odds of rolling TWO sixes - 36:1

Odds of rolling two sixes, SIX times - 216:1