Answer:
1/4
Step-by-step explanation:
[tex]\mathsf{Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ outcomes}}[/tex]
Assuming the number cube has faces number 1 through 6, the probability of rolling any of the number is 1/6.
Therefore,
P(odd number) = P(1) or P(3) or P(5)
= 1/6 + 1/6 + 1/6
= 3/6
= 1/2
Similarly,
P(even number) = P(2) or P(4) or P(6)
= 1/6 + 1/6 + 1/6
= 3/6
= 1/2
⇒ P(odd) AND P(even) = 1/2 × 1/2 = 1/4
