Prealgebra (7th Edition)

Published by Pearson
ISBN 10: 0321955048
ISBN 13: 978-0-32195-504-3

Chapter 8 - Section 8.5 - Counting and Introduction to Probability - Exercise Set: 49

Answer

$\frac{5}{36}$

Work Step by Step

A sum of 6 is 5 of the 36 possible outcomes of two tosses of a die. $\ \ \ \ \ \ \ 1\ \ \ \ \ \ \ \ \ \ \ \ \ \ 2\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 3\ \ \ \ \ \ \ \ \ \ \ \ \ \ 4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 5\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 6$ $\ \ \swarrow\downarrow\searrow \ \ \ \ \swarrow\downarrow\searrow\ \ \ \ \ \ \swarrow\downarrow\searrow\ \ \ \ \swarrow\downarrow\searrow\ \ \ \ \ \ \swarrow\downarrow\searrow\ \ \ \ \ \ \swarrow\downarrow\searrow$ $1\ 2\ 3\ 4\ 5\ 6\ \ \ \ \ \ \downarrow\ \ \ \ \ \ \ \ 1\ 2\ 3\ 4\ 5\ 6\ \ \ \ \ \downarrow\ \ \ \ \ \ \ \ 1\ 2\ 3\ 4\ 5\ 6\ \ \ \ \ \ \ \,\downarrow$ $^{2\ \ \ 3\ \ 4\ \ 5\ \ \underline6\ \ 7}\ \ \ \,\ \ \downarrow\ \ \ \ \ \ \ \ ^{4\ \ \ \!\,5\ \,\underline6\ \ 7\ \ 8\ \ 9}\ \ \ \,\ \downarrow\ \ \ \ \ \ \ ^{\underline6\ \ 7\ \ 8\ \ 9\,\,10\,\,11}\ \ \ \ \ \ \downarrow\ \ \ \ \ $ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\ 2\ 3\ 4\ 5\ 6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\ 2\ 3\ 4\ 5\ 6\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 1\ 2\ 3\ 4\ 5\ 6$ $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ^{3\ \ 4\ \ 5\ \ \underline6\ \ 7\ \ 8}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ^{5\,\,\!\underline6\,\,7\ \ 8\ \ 9\ \ 10}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ^{7\ \ 8\ \ 9\ \,10\,11\ 12}\ \ \ \ \ \ \ \ \ $
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