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A standard number cube is tossed. Find the probability of getting P(6 or even).A.1/2B.1/3C.2/3D.4

Sagot :

A standard number cube is a fair-die.

The sample space for a die is six (6).

[tex]S=\mleft\lbrace1,2,3,4,5,6\mright\rbrace[/tex]

The probability of an event, E , is defined mathematically as:

[tex]Pr(E)=\frac{\text{number of favourable outcome}}{\text{number of sample space}}[/tex]

To obtain the probability of getting a 6 or an even number, we have:

[tex]\begin{gathered} Pr(6\text{ or even)=}\frac{1}{6}+\frac{3}{6} \\ Pr(6\text{ or even)=}\frac{4}{6} \\ Pr(6\text{ or even)=}\frac{2}{3} \end{gathered}[/tex]

Hence, the correct option is option C