Respuesta :
A game is said to be fair if the probability of winning is equal to the probability of losing.
The sample space S is given by:
[tex]S=\left\lbrace1,2,3,4,5\right\rbrace[/tex]The event, W, that the spinner lands on an odd number is given by:
[tex]W=\left\lbrace1,3,5\right\rbrace[/tex]The event, L, that the spinner does not land on an odd number is given by:
[tex]L=\left\lbrace2,4\right\rbrace[/tex]The probability of an event E is given by:
[tex]P\left(E\right)=\frac{n\left(E\right)}{n\left(S\right)}[/tex]Therefore, the probability of W is given by:
[tex]P\left(W\right)=\frac{n\left(W\right)}{n\left(S\right)}=\frac{3}{5}=0.6[/tex]and
the probability of L is given by:
[tex]P\left(L\right)=\frac{n\left(L\right)}{n\left(S\right)}=\frac{2}{5}=0.4[/tex]Therefore,
[tex]P\left(W\right)P\left(L\right)[/tex]The probability of winning is not equal to the probability of losing.
Therefore, the game is not fair.
The correct answer is choice A
.
