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a 6 sided number cube is tossed. what is the probability of rolling a 6 or an odd number?
Are these events mutually exclusive or not mutually exclusive?

A) 1/2 ; mutually exclusive
B) 1/2 ; not mutually exclusive
C) 2/3 ; mutually exclusive
D) 2/3 ; not mutually exclusive

Respuesta :

For any probability the formula is [tex]P_{desired}=\frac{desired}{total}[/tex]. In this case we have 4 desired outcomes (the odds, 1, 3 and 5, and also 6) out of 6 total sides, so our probability [tex]P_{oddor6} =\frac{odd or 6}{total sides}=\frac{4}{6} = \frac{2}{3}[/tex].

Mutually exclusive means the events cant occur at the same time. In our case it is not possible to roll both a 6 and an odd number at the same time since 6 is even. Therefore the events ARE mutually exclusive. 

Combine the two parts and C is the correct answer.