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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

What are the probabilities of winning when playing craps online?

"The probabilities are exactly the same as playing offline, at least in theory. So then it depends upon the table, how many numbers there are, and how you bet. A Typical table gives you a 1 in 31 chance of winning on a single number with the highest payout rate. However, when betting on split the probability is closer to 50% with 0 and 00 being losers."

How many different ways can five books be arranged on a shelf?

The number of permutations of five things taken five at a time is five factorial, or 120.

How are experimental probability and theoretical experiment alike?

They are both estimates of the probability of outcomes that are of interest. Experimental probabilities are derived by repeating the experiment a large number of times to arrive at these estimates whereas theoretical probabilities are estimates based on a mathematical model based on some assumptions.

What are the possible outcomes for the throw of 2 dice?

When two dies are thrown, there are 36 possible outcomes. The first number represents the outcome of the first die and the second number represents the outcome of the second die.

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5),(2,6)

(3,1),(3,2),(3,3),(3,4),(3,5),(3,6)

(4,1),(4,2),(4,3),(4,4),(4,5),(4,6)

(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)

(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)

What is the probability that A date picked at random is February 30?

The probability that a date picked at random is February 30th is zero, as there is no February 30th, even in leap years.

How many ways can you arrange 7CDs on a shelf?

The number of permutations of 7 things taken 7 at a time is 7 factorial, or 5040.

How do you convert probabilities to odds?

Just take the probability, which is a decimal number between 0 and 1, and convert it into a fraction.  For instance, a probability of 0.75 corresponds to odds of 3 in 4.

What is the probabilility that the spinner will land on six?

The probability that the spinner will land on six depends on how many numbers are on the spinner. If the spinner is only 1 through 6, then there is a 16.67% probability that the spinner will land on six with each spin.

What are the odds of coin flip having the same results 8 times in a row?

1 in 27, or 1 in 128, or 0.0078125.

Note: the stated equation is 1 in 27, not 1 in 28, because the question said "same results 8 times in a row". If the question said "heads, 8 times in a row", then the answer would be 1 in 28, but since it said "same results", you have to consider that the second through the eighth flip must match the first flip, and that is 1 in 27.

What is the sample space for rolling a pair of dice?

The sample space is the following set:

{(1. 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6),

(2. 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6),

(3. 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6),

(4. 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6),

(5. 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6),

(6. 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}

What does contextual status mean?

status that aren't mutually exclusive. it refers to person who involve in multiple status. example: some women can be both mother and a businesswoman