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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 the sample space of rolling a one on a dice?

impossible or 1/6

* * * * *

No!

The sample space refers to the set of possible outcomes, not the probability of any one outcome.

How do you draw a probability diagram for the number of heads coming up and how many ways they can occur from flipping three coins?

There are 8 permutations of three coins ...

T T T

T T H

T H T

T H H

H T T

H T H

H H T

H H H

... counting heads and sorting by count, you get ...

0 - T T T

1 - T T H

1 - T H T

1 - H T T

2 - T H H

2 - H T H

2 - H H T

3 - H H H

... so, the probability of each possible number of heads is 0: 1 in 8, 1: 3 in 8, 2: 3 in 8, and 3: 1 in 8.

Suppose six coins are flipped then the probality of getting at least one tail?

The probability of getting at least one tail in a flip of six coins is the same as the probability of not getting all heads, which is 1 - (0.56), or 0.984375.

What are the odds of getting royal flush in five card stud?

The odds of getting a royal flush in five card stud is the same as in any poker game with five cards involved, i.e. 649,740 to 1.

Does a dealers ace beat the other persons ace in five card draw?

It depends on the rules that the players agree to. In general, no; one ace is not higher than any other ace, and you have to consider the entire hand on its merits - not just on the ace or aces that might be in it. As an example, an ace/king is higher than an ace/ten, and it does not matter who the dealer is.

Some people consider suit, making the order spades, diamonds, clubs, and hearts, but that is bridge convention, not poker.

What process is occurring at A and B?

To provide an accurate answer, I would need more context about what "A" and "B" refer to. Typically, in a biological or chemical context, processes at specific points might involve reactions, transformations, or interactions. Please provide additional details about A and B for a precise response.

Can a function be even or odd at same time?

The only function that can do this is f(x)=0, or y=0

What about y2-x2=0

What is the outcome of getting 1 when rolling a dice 50 times?

The outcome is that in at least one of the 50 rolls the die comes to rest with the number one (or one spot) uppermost.

What is the probably of rolling two dice and getting the sum of 2?

1/36.

Explanation: There will be 36 possible outcomes when you roll two dice.

Let us suppose the first number is the outcome of 1 dice and the second number is the outcome of the second dice. Then we have 36 possible outcomes like : (1,1) , (1,2), (1,3), (1,4), (1,5), (1,6) and so on until (6,6). Note that 6 is the highest possible outcome on any dice.

When you add the outcomes of both dice you are supposed to get two. In such a case only one outcome is possible of all the 36 outcomes and that is (1,1).

Now, by definition, Probability is (No. of favorable outcomes/Total number of outcomes) = 1/36 in this case.

What are the odds of rolling 6 same numbers in a six sided die?

The probability of rolling the same number six times on a standard die is (1 in 6)5 or 1 in 7776, or about 0.0001286.

The reason the exponent above is five instead of six is that the probability of rolling "some" number on one die is 1, so you need to look at the probability of the other five dice matching the first die.

It would not matter if you rolled one die six times, or six dice one time. The odds are the same.

How does the experimental probability of making purple compared with the theoretical probability of making purple?

It is not clear why there should be any probability involved. The process of making purple is well understood and so is deterministic, not probabilistic.

It is not clear why there should be any probability involved. The process of making purple is well understood and so is deterministic, not probabilistic.

It is not clear why there should be any probability involved. The process of making purple is well understood and so is deterministic, not probabilistic.

It is not clear why there should be any probability involved. The process of making purple is well understood and so is deterministic, not probabilistic.

How much heavier is 5.19 than 3.73kg?

5.19 kg is 1.46 kg heavier than 3.73 kg. (Simply subtract the two values.)

If you want to think of it as a ratio, 5.19 kg is 39.12% heavier than 3.73 kg. (Simply divide the two values.)

What is the probability of throwing a dice 100 times and getting 5 6s?

The answer, using the Binomial distribution is

100C5*(1/6)5*(5/6)95 = 0.000291 (approx).

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