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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

The probable cause needed to detain and the probable cause needed to go to trial require the same amount of proof?

No, the amount of proof needed for detention and for going to trial is different. For detention, the probable cause standard is relatively low and requires enough evidence to establish a reasonable belief that a crime has been committed. On the other hand, to go to trial, a higher standard of proof, such as beyond a reasonable doubt, is typically required to establish guilt.

What is the probability of picking white?

The probability of picking white is equal to the number of white objects divided by the total number of objects (both white and non-white), assuming that all of the objects are identical other than color.

In Geometry, the probability of landing on a white space is the area of the white space divided by the total area.

What is a sample of control risk?

risk control is when cows are born in the ocean risk control is when cows are born in the ocean

Why can't you see at the back of our heads?

We can't see the back of our heads because our eyes are positioned at the front of our heads, limiting our field of vision. The structure of our skull and the position of our eyes prevent us from having a full 360-degree view. Additionally, our brain processes visual information from both eyes to create a cohesive image, which further restricts our ability to perceive areas outside our direct line of sight.

When 2 dice are rolled what is the probability of getting a sum less than 4 or greater than 9?

When 2 dice are rolled, the probability of getting a sum less than 4 or greater than 9 is 2 in 9.

There are 36 permutations of two six sided dice, 1-1, 1-2, ..., 1-6, 2-1, ... 2-6, ..., 6-1, 6-2, ... 6-6. Of these permutations, 3 have a sum less than four, 1-1, 1-2, and 2-1, and 5 have a sum greater than nine, 4-6, 5-5, 5-6, 6-4, 6-5, and 6-6. Add these probabilities together and you get (3 + 5) in 36, or 8 in 36, or 2 in 9.

How many ways can four finalist be selected from 50 contestants?

If order matters, 50x49x48x47 = 5,527,200.

If the order doesn't matter (which it probably doesn't, given that we're not selecting the winner, first runner-up, etc. directly), it's slightly trickier: there are 4!, or 24, ways of arranging four items, so we have to divide the larger number by 24 to get 230,300.

How many times can the letters of CANADA be arranged?

There are 6 letters so there are 6P6 or 720 ways to arrange them. They don't all make a real word though.

What is the probability of rolling two numbers whose sum is greater than or equal to 10?

With two tetrahedral dice labelled 1-4 the probability is zero as the maximum score possible is 8.

With two cubical dice labelled 1-6, the probability is 6/36 = 1/6

Other d&d dice (d8, d10, d12, d20) are left as an exercise for the reader.

How many different ways can 6 people stand in line at a cash register?

First place can be any of 6, second any of 5 etc. 6 x 5 x 4 x 3 x 2 = 720 different ways!

What if two dice are rolled find probabliity that an even number is rolled on one die and an odd number is rolled on the second die?

The probability of rolling an even die and then an odd die is (3 in 6) times (3 in 6), which is the same as (1 in 2) times (1 in 2), which is the same as 0.5 time 0.5, which is 0.25.

Why are the twins identical?

Twins are not necessarily identical. They can be fraternal as well. Identical twins result when one fertilized egg splits in two. Fraternal twins result from two fertilized eggs.

When tossing a coin does heads or tails happen more often?

50 percent chance so even... but sometimes you can increase the probability slightly if you have certain sides of the coins facing down...

What is the size of the sample space for all the outcomes possible from rolling 6 dice?

If we roll 2 dice simultanosly the sample space consists of 6 rows and 6 col so the answer is 6*6 i.e 36 elements.

If we roll 6 dice simultanosly the sample space consists of 36 rows and 36 col so the answer is 36*36 i.e 1296 elements.

There are 38 numbers on a roulette wheel and I bet 12 of them. What is the probability of not hitting one of my numbers on 11 consecutive spins?

If the probability of an event will occur is p, then the probability that it will occur in n trials is pn.(That's p raised to the n power). So if you bet on 12 numbers, then (38-12=26) numbers are empty. The probability of the ball landing on one of these empty numbers is 26/38. So (26/38)^11 = 0.01538, which is about 1.538 % or a 1 in 65 chance.

When a quarter is tossed four times How many times are exactly three tails tossed?

Out of the 16 possible outcomes for a coin tossed four times, 4 of them result in 3 Tails & 1 Head. They are: TTTH, TTHT, THTT, and HTTT.

What is the probability of rolling a number that is divisible by 3 or a 5?

If you roll the die often enough the probability is near enough 1 so as to make no difference.

On a single roll, the probability is 1/2.

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