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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 is probability of at most one head on tossing 3 coins?

There are 8 permutations of three coins. Of those, three of them have only one head, so the probability of throwing only one head is 3 in 8, or 0.375.

However, you said, "at most", and that includes the permutation that does not include any heads at all, so the probability of throwing at most one head in three coins is 4 in 8, or 0.5.

T T T *

T T H *

T H T *

T H H

H T T *

H T H

H H T

H H H

What is the probability of rolling both doubles and two odd numbers?

The answer depends on how many dice you roll and how often.

If you roll four dice once, the probability of getting a double AND two odd numbers is 264/1296 = 11/54

What is the probability of rolling an odd number three times?

The probability of rolling an odd number is 3/6 (or rather, 1/2), so the probability of rolling an odd number three times in a row is 1/2^3 is 1/8 or 12.5%.

What is the probability of landing on the number three?

The answer depends on WHAT is landed: a number cube, a tetrahedral die, some other polyhedron, a spinner?

Can conditional probablity be greater than 1?

No probability can be greater than 1.

An event will either not happen (p=0) or it will happen (p=1) or something in between (p>0 and p<1).

What is the estimate of covariance for d effect-sizes for a meta analysis?

In a meta-analysis, the estimate of covariance for effect sizes is often calculated to assess the degree to which the effect sizes are correlated across studies. This covariance can be estimated using a random-effects model, which accounts for both within-study and between-study variability. Typically, it involves using the inverse of the variance of each effect size as weights in a weighted average. Understanding covariance helps in evaluating the overall heterogeneity and potential publication bias in the meta-analysis.

What is the probability of being dealt?

There is insufficient information in the question to answer it properly. Please restate the question.

How many ways can 3 be selected from 30?

The number is 30C3 = 30!/[3!*(30-3)!] = 30*29*28/(3*2*1) = 4060

What is the probbability of getting head if the coin is tossed 300 times?

Prob(Head in 300 tosses of a coin) = 1 - Prob(not a single H in 300 tosses)

= 1 - (1/2)300

= 1 - (4.91*10-91)

= 0.999...9998 where there are 90 9s before the 8.

When two dice are rolled the probability of getting a sum of 16?

With two normal six-sided dice, the maximum sum can only be 12 (6 x 2 dice), so there is zero probability of rolling a sum that adds to 16.

What is the probability that you getting a total of 6 on a roll of a pair of numbered dice?

total outcomes = 36

chances of sum to be 6 are (1,5) or (2,4) or (3,3)

so probability = 3/36 = 1/12

How many permutations are in the word hook?

24

If we are looking at unique permutations, there would be half as many as there are stated above, as there are two o's in the word. So, in reality, there are only 12 permutations:

  • hook
  • hoko
  • hkoo
  • ohok
  • ohko
  • okho
  • oohk
  • ookh
  • okoh
  • khoo
  • koho
  • kooh

What does a z-score of -1.5 mean?

z-score of a value=(that value minus the mean)/(standard deviation). So a z-score of -1.5 means that a value is 1.5 standard deviations below the mean.

Is probable cause necessary for an arrest under any circumstance?

Anytime I see the word "Any" it's hard to give you a perfect answer. 99.9% of the time, you either need to witness the crime, have probable cause (PC) or need a warrant to make an arrest.

I'm sure there is a situation out that that might not fall into one other those but a cop still makes the arrest, I don't know.

One thing to keep in mind is that the PC comes from the officer, not the person being arrested. I have had people tell me I didn't have PC to arrest them, but the reality is I did and I'm the one that has to articulate MY PC not what joe blow thinks is PC.

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