Exercise Answers: Module 29

Probability

$\frac{6}{36}=\frac{1}{6}$
$\frac{2}{36}=\frac{1}{18}$
$\frac{8}{36}=\frac{2}{9}$
$\frac{36}{36}=1$
$\frac{0}{36}=0$
$\frac{4}{36}=\frac{1}{9}$
$\frac{32}{36}=\frac{8}{9}$
$\frac{6}{36}=\frac{1}{6}$
$\frac{30}{36}=\frac{5}{6}$
$\frac{15}{60}=\frac{1}{4}$
$\frac{27}{60}=\frac{9}{20}$
$\frac{42}{60}=\frac{7}{10}$
$\frac{1}{4}=25\%$
$\frac{3}{4}=75\%$
$\frac{2}{4}=50\%$
$\frac{2}{4}=50\%$
$\frac{8}{250}=3.2\%$
$\frac{242}{250}=96.8\%$
we should expect $968$ copies to be acceptable
$\frac{44}{200}=22\%$
we should expect $220$ tax returns to have errors
$22\%=0.22$
$(0.22)^2\approx4.8\%$
$(0.22)^3\approx1.1\%$
$0.22\cdot0.78\approx17.2\%$
$0.78\cdot0.22\approx17.2\%$
$(0.78)^2\approx60.8\%$
$(0.78)^3\approx47.5\%$
$1-(0.78)^3\approx52.5\%$

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