Answer
a) {$T_{1}, T_{2}, T_{3}, T_{4}, T_{5}, T_{6}$}
b) $\frac{1}{6}$
c) $\frac{1}{3}$
d) $\frac{5}{6}$
Work Step by Step
Note that each outcome has chance $\frac{1}{6}$
a) Let $T_{n}$ denote Tool $n$
$S =$ {$T_{1}, T_{2}, T_{3}, T_{4}, T_{5}, T_{6}$}
b) We are looking for $P(T_{1}) =\frac{1}{6}$
c) We are looking for $P(T_{3}) + P(T_{5}) = \frac{1}{6} + \frac{1}{6} = \frac{2}{6} = \frac{1}{3}$
d) We are looking for $P(T_{4}') = 1 - P(T_{4}) = 1 - \frac{1}{6} = \frac{5}{6}$
