Question

The theoretical and experimental properties data for a composite will not be exactly
similar. Discuss why this happen.

Answer 1

Answer:

Probability is the branch of mathematics that deals with the likelihood that certain outcomes will occur. There are five basic rules, or axioms, that one must understand while studying the fundamentals of probability.

The sum of the probabilities of all outcomes must equal

1

.

If two events have no outcomes in common, the probability that one or the other occurs is the sum of their individual probabilities.

The probability that an event does not occur

minus the probability that the event does occur.

Two events

A

and

B

are independent if knowing that one occurs does not change the probability that the other occurs.

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Answer 2

Answer:

Probability theory, a branch of mathematics concerned with the analysis of random phenomena. The outcome of a random event cannot be determined before it occurs, but it may be any one of several possible outcomes. The actual outcome is considered to be determined by chance.

Explanation:

The word probability has several meanings in ordinary conversation. Two of these are particularly important for the development and applications of the mathematical theory of probability. One is the interpretation of probabilities as relative frequencies, for which simple games involving coins, cards, dice, and roulette wheels provide examples. The distinctive feature of games of chance is that the outcome of a given trial cannot be predicted with certainty, although the collective results of a large number of trials display some regularity. For example, the statement that the probability of “heads” in tossing a coin equals one-half, according to the relative frequency interpretation, implies that in a large number of tosses the relative frequency with which “heads” actually occurs will be approximately one-half, although it contains no implication concerning the outcome of any given toss.

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