Answer
(a)
An experiment is any process that gives definite out- comes. sample space of experiment is known as set of all possible outcomes.
(b)
the event defined as any subset of sample space.
(c)
$P(E)=\frac{n(E)}{n(S)}=\frac{\text { number of elements in } E}{\text { number of elements in } S}$
(d)
$P\left(E^{\prime}\right)=1-P(E)$
(e)
There are eight outcomes. Let $E$ be the event "all heads"
Then $E^{\prime}$ is the event "at least one tail."
$P(E)=\frac{1}{8}$ and $P\left(E^{\prime}\right)=1-P(E)=1-\frac{1}{8}=\frac{7}{8}$
Work Step by Step
(a)
An experiment is any process that gives definite out- comes. sample space of experiment is known as set of all possible outcomes.
(b)
the event defined as any subset of sample space.
(c)
$P(E)=\frac{n(E)}{n(S)}=\frac{\text { number of elements in } E}{\text { number of elements in } S}$
(d)
$P\left(E^{\prime}\right)=1-P(E)$
(e)
There are eight outcomes. Let $E$ be the event "all heads"
Then $E^{\prime}$ is the event "at least one tail."
$P(E)=\frac{1}{8}$ and $P\left(E^{\prime}\right)=1-P(E)=1-\frac{1}{8}=\frac{7}{8}$
