Probability And Theory of Errors
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If the chance is even for head and tail in tossing a coin, what is the probability that in a million throws the difference between heads and tails will exceed 1500 ?
Art. 7. Inverse Probabilities.* If an observed event can be attributed to any one of several causes, what is the probability that any particular one of these causes produced the event ? To put the question in a concrete form, suppose a white ball has been drawn from one of two urns, Z7, containing 3 white and 5 black balls, and U, ...contain- ing 2 white and 4 black balls ; and that the probability in favor of each urn is required. If £/, is as likely to have been chosen as [/„ the probability that t/, was chosen is 1/2. After such choice the probability of drawing a white ball from C/, is 3/8. Before drawing, therefore, the probability of getting a white ball from U^ was 1/2 X 3/8 = 3/16, by Art. 5. Similarly, before drawing the probability of getting a white ball from U^ was 1/2 X 2/6 = 1/6. These probabilities will remain un- changed if the number of balls in either urn be increased or * See Poisson, Probability des Jugements, pp.
What to read after Probability And Theory of Errors?
You can find similar books in the "Read Also" column, or choose other free books by Robert Simpson Woodward to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
If the chance is even for head and tail in tossing a coin, what is the probability that in a million throws the difference between heads and tails will exceed 1500 ?
Art. 7. Inverse Probabilities.* If an observed event can be attributed to any one of several causes, what is the probability that any particular one of these causes produced the event ? To put the question in a concrete form, suppose a white ball has been drawn from one of two urns, Z7, containing 3 white and 5 black balls, and U, ...contain- ing 2 white and 4 black balls ; and that the probability in favor of each urn is required. If £/, is as likely to have been chosen as [/„ the probability that t/, was chosen is 1/2. After such choice the probability of drawing a white ball from C/, is 3/8. Before drawing, therefore, the probability of getting a white ball from U^ was 1/2 X 3/8 = 3/16, by Art. 5. Similarly, before drawing the probability of getting a white ball from U^ was 1/2 X 2/6 = 1/6. These probabilities will remain un- changed if the number of balls in either urn be increased or * See Poisson, Probability des Jugements, pp.
What to read after Probability And Theory of Errors?
You can find similar books in the "Read Also" column, or choose other free books by Robert Simpson Woodward to read onlineMoreLess
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