In Galileos time people thought that when three dice were rolled, a sum of 9 and a sum of 10 had the same probability since each could be obtained in 6 ways Compute the probabilities of these sums and show that 10 is a more likely total than 9 9 1 2 6, 1 3 5, 1 4 4, 2 2 5, 2 3 4, 3 3 3 10 1 3 6, 1 ...

We can get 1 2 6 1 3 5 2 3 4 in 3 6 ways 1 4 4 2 2 5 ...

In Galileos time people thought that when three dice were rolled, a sum of 9 and a

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In Galileo’s time people thought that when three dice were rolled, a sum of 9 and a sum of 10 had the same probability since each could be obtained in 6 ways:

9: 1+ 2+6, 1+3+5, 1+4+4, 2+2+5, 2+ 3+ 4, 3+3+3 10: 1+3+6, 1+4+5, 2+4+4, 2+ 3+ 5, 2+4+4, 3+3+4

Compute the probabilities of these sums and show that 10 is a more likely total than 9.

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Elementary Probability For Applications

ISBN: 9780521867566

1st Edition

Authors: Rick Durrett

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Question Posted: Jan 12, 2024 04:00 AM

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In Galileos time people thought that when three dice were rolled, a sum of 9 and a

Question:

9: 1+2 +6, 1+3+5, 1+4+4, 2+2+5, 2+3+4, 3+3+3 10: 1+3+6, 1+4+5, 2+4+4, 2+3+5, 2+4+4, 3+3+4

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We can get 1 2 6 1 3 5 2 3 4 in 3 6 ways 1 4 4 2 2 5 ...View the full answer

Elementary Probability For Applications

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