A hat contains 20 white slips of paper numbered from1 through 20, 10 red slips of paper numbered from 1through 10, 40 yellow slips of paper numbered from 1through 40, and 10 blue slips of paper numbered from 1 through 10. If these 80 slips of paper are thoroughly shuf-fled so that each slip has the same probability of being drawn, find the probabilities of drawing a slip of paperthat is(a) blue or white;(b) numbered 1, 2, 3, 4, or 5;(c) red or yellow and also numbered 1, 2, 3, or 4;(d) numbered 5, 15, 25, or 35;(e) white and numbered higher than 12 or yellow andnumbered higher than 26.
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
1 through 20, 10 red slips of paper numbered from 1
through 10, 40 yellow slips of paper numbered from 1
through 40, and 10 blue slips of paper numbered from 1
fled so that each slip has the same probability of being
that is
(a) blue or white;
(b) numbered 1, 2, 3, 4, or 5;
(c) red or yellow and also numbered 1, 2, 3, or 4;
(d) numbered 5, 15, 25, or 35;
(e) white and numbered higher than 12 or yellow and
numbered higher than 26.
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