Probability

Changing the order of addends does not change their sum. In symbolic form, a + b =b + a. Subtraction is not commutative .

Prob(No sixes in 6 rolls) = [Prob(Not a six in a roll)]6 = (5/6)6 = 0.3349

Only the mean, because a normal distribution has a standard deviation equal to the square root of the mean.

There are 34650 distinct orders.

There are 34650 distinct orders.

There are 34650 distinct orders.

There are 34650 distinct orders.

Expected value is the outcome of confidence of how probability distribution is characterized. If the expected value is greater than the confidence interval then the results are significant.

100 thousand

Since you didn't say they had to spell anything there are 720 possibilities.

There is vitamin A (but no vitamin Z .. just the mineral Zinc).

In solving problems like this, the most straightforward approach is to make a table. Columns are used to show the six outcomes from one of the dice, rows the outcomes from the other die. In each cell of the table put the sum of the two dice. Now go throught the table row by row, counting the values that are prime numbers. There are 36 cells in the table, and I counted 15 primes, making a probability of 15/36 = 5/9.

But my counting has been wrong before! You had better check it.

On a fair die, it is 1/6 on a single throw.

On a fair die, it is 1/6 on a single throw.

On a fair die, it is 1/6 on a single throw.

On a fair die, it is 1/6 on a single throw.

Experiment

There is a total of 52 cards in Cardcaptors,like in a normal deck of cards. But, you don't get to see all 52 cards being captured. You only see 49 cards.

one of the things i have learned from poker is that probability is not an indicator of what's to happen in the future, however, by playing the odds on a continuous basis you are assured to come out on top. just make sure to take the good odds, a 51/49 split is not a good chance in the world of probability. anything over 70% (i believe) is considered to be a good risk vs. reward assessment

No because 0 is additive inverse the multiplicative inverse of a number is when you multiply that number by the m. inverse and still get that number.

40% chance

The term "8795896 heads" could refer to a numerical count of individuals or entities, such as people, animals, or any other countable items. Without additional context, it's difficult to determine the exact meaning or significance of this number. It could be used in various fields, such as demographics, livestock counting, or even metaphorically in discussions. If you have a specific context in mind, please provide more details for a more tailored response.

To me, the theoretical probability is what is termed the classical probability. This says the probability is the number of ways an event can occur divided by the number of possible events. Forexample, flip a coin. The theoretical probability for heads is 1/2. However, flip a coin 10 times and you will probably not get 5/10 (or 1/2). Doing the actual experiment to determine the probability is called relative frequency approximation.

2 out of 13 so.. 2/13

Conditional probabilities arise when you revise the probabilities previously attached to some events in order to take new information into account. The revised probabilities are 'conditional on the new information you have received'.

There are 6 rolls for the die times 2 possibilities for the coin, so there are 12 total possibilities. Because there is a 1/2 chance of flipping a head, the answer is half of 12, or 6.

If you missed 12, then you got 31 correct [43-12=31]. If all questions are weighted equally, then 31/43 = 0.721 or 72.1 %, so your grade is 72.

There is insufficient information in the question to properly answer it. You did not specify what kind of input sets are involved. Please restate the question.

That depends on your league's rules. Many leagues give a one-game minimum suspension to any player who is sent off.

The expected outcome of an experiment, where the outcomes have discrete values, is the sum of the values of each outcome multiplied by the probability of that value occurring.

For continuous variables, it is the integral of each value multiplied by the probability of that value being attained.

The expected value for a variable is the [arithmetic] mean for that variable.

Note, though, that the arithmetic mean may be unrealisable. For example, the expected value for the roll of a fair die is

1*(1/6) + 2*(1/6) + 3*(1/6) + 4*(1/6) + 5*(1/6) + 6*(1/6) = 21/6 = 31/2. And no matter how hard you try, you will not roll 31/2! What the expected value says is that, if you roll the die many times, the average of all the values that you get will be approximately 31/2.