Answer:
(b)
Step-by-step explanation:
Given
A roll of a six sided die
Required
Which of the options is true
A) P(Even) = 1/4 and P(Odd) = 3/4
In a die, we have:
[tex]S = \{1,2,3,4,5,6\}[/tex] -- sample space
[tex]E = \{2,4,6\}[/tex] --- Even
[tex]O = \{1,3,5\}[/tex] -- Odd
The probability of even is the number of even sides over total.
i.e.
[tex]P(Even) = 3/6[/tex]
[tex]P(Odd) = 3/6[/tex]
Hence, (a) is incorrect
(b) A) P(Even) = 1/2 and P(Odd) = 3/2
In (a), we have:
[tex]P(Even) = 3/6[/tex]
[tex]P(Odd) = 3/6[/tex]
Simplify each
[tex]P(Even) = 1/2[/tex]
[tex]P(Odd) = 1/2[/tex]
Hence (b) is true
Since (b) is true, (c) and (d) are false
