91影视

The sample and the method for assigning probabilities comprise a probability model. Sample space and sample point are two terms that are used interchangeably. A statistical experiment's sample space S is the set of all possible outcomes. A sample point is an outcome in a sample space. It is sometimes referred to as a sample space element or a sample space member.

Sample points:

1. Probability of selecting Blue.
2. Probability of selecting Orange.
3. Probability of selecting Green.
4. Probability of selecting Yellow.
5. Probability of selecting Brown.
6. Probability of selecting Red.

Hence, the sample points of this experiment are

$\mathbf{Outcomes}\mathbf{=}\mathbf{\{}\mathbf{blue}\mathbf{,}\mathbf{orange}\mathbf{,}\mathbf{green}\mathbf{,}\mathbf{yellow}\mathbf{,}\mathbf{brown}\mathbf{,}\mathbf{red}\mathbf{\}}\mathbf{.}$

$\begin{array}{c}\mathbf{P}\mathbf{\left(}\mathbf{blue}\mathbf{\right)}\mathbf{=}\mathbf{24}\mathbf{\%}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{24}}{\mathbf{100}}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{24}\end{array}$

$\begin{array}{c}\mathbf{P}\mathbf{\left(}\mathbf{orange}\mathbf{\right)}\mathbf{=}\mathbf{20}\mathbf{\%}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{20}}{\mathbf{100}}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{20}\end{array}$

$\begin{array}{c}\mathbf{P}\mathbf{\left(}\mathbf{green}\mathbf{\right)}\mathbf{=}\mathbf{16}\mathbf{\%}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{16}}{\mathbf{100}}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{16}\end{array}$

$\begin{array}{c}\mathbf{P}\mathbf{\left(}\mathbf{yellow}\mathbf{\right)}\mathbf{=}\mathbf{14}\mathbf{\%}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{14}}{\mathbf{100}}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{14}\end{array}$

$\begin{array}{c}\mathbf{P}\mathbf{\left(}\mathbf{brown}\mathbf{\right)}\mathbf{=}\mathbf{13}\mathbf{\%}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{13}}{\mathbf{100}}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{13}\end{array}$

$\begin{array}{c}\mathbf{P}\mathbf{\left(}\mathbf{red}\mathbf{\right)}\mathbf{=}\mathbf{13}\mathbf{\%}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{13}}{\mathbf{100}}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{13}\end{array}$

Hence, the probability to the outcomesP(blue)=0.24, P(orange)=0.20, P(green)=0.16, P(yellow)=0.14, P(brown)=0.13, P(red)=0.13.

$\begin{array}{c}\mathbf{P}\mathbf{\left(}\mathbf{brown}\mathbf{\right)}\mathbf{=}\mathbf{13}\mathbf{\%}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\frac{\mathbf{13}}{\mathbf{100}}\\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{13}\end{array}$

Hence, the probability of Brown is0.13.

$$\begin{gathered} \mathbf{P}\mathbf{=}\mathbf{P}\mathbf{\left(}\mathbf{red}\mathbf{\right)}\mathbf{+}\mathbf{P}\mathbf{\left(}\mathbf{green}\mathbf{\right)}\mathbf{+}\mathbf{P}\mathbf{\left(}\mathbf{yellow}\mathbf{\right)} \\ \mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{13}\mathbf{+}\mathbf{0}\mathbf{.}\mathbf{16}\mathbf{+}\mathbf{0}\mathbf{.}\mathbf{14} \\ \mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{43} \end{gathered}$$

Hence, the probability of red, green, or Yellow is0.43.

$$\begin{gathered} \mathbf{P}\mathbf{\left(}\mathbf{notblue}\mathbf{\right)}\mathbf{=}\mathbf{1}\mathbf{鈭�}\mathbf{P}\mathbf{\left(}\mathbf{blue}\mathbf{\right)} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{1}\mathbf{鈭�}\mathbf{0}\mathbf{.}\mathbf{24} \\ \mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{}\mathbf{=}\mathbf{0}\mathbf{.}\mathbf{76} \end{gathered}$$

Hence, the probability of not being blue is0.76.