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Determine the probability of rolling a number that is not even.


a. Which outcome or outcomes make up the event of rolling a number that is not even?


b. Calculate the probability of rolling a number that is not even.

Sagot :

SajjadGedow

Answer:

[tex]\frac{1}{2}[/tex] or 0.5 or 50%

Step-by-step explanation:

P(not even) = P(odd) = P(1) or P(3) or P(5) = P(1) + P(3) + P(5)

= [tex]\frac{1}{6}[/tex]+ [tex]\frac{1}{6}[/tex]+[tex]\frac{1}{6}[/tex] = [tex]\frac{3}{6}[/tex]= [tex]\frac{1}{2}[/tex]

Alternatively

P(not even) = 1 -P(even) = 1 - [P(2) or P(4) or P(6)]

= 1 - [ [tex]\frac{1}{6}[/tex]+ [tex]\frac{1}{6}[/tex]+[tex]\frac{1}{6}[/tex]] = 1 - [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

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