Question

a red 8 - sided die and a green 8 - sided die are rolled. let a be the event that the red die comes up odd, and let b be the event that the green die comes up odd. are these events dependent or independent?
find ( p(a) )
( p(a)=square ) (simplify your answer.)

Explanation:

Step1: Determine the total number of outcomes for the red die

The red die has 8 sides. So, the total number of possible outcomes \( n = 8 \).

Step2: Determine the number of favorable outcomes for event A

The odd - numbered outcomes on an 8 - sided die are 1, 3, 5, 7. So, the number of favorable outcomes \( m=4 \).

Step3: Calculate \( P(A) \)

Using the probability formula \( P(A)=\frac{m}{n} \), we substitute \( m = 4 \) and \( n = 8 \).
\( P(A)=\frac{4}{8}=\frac{1}{2} \)

Answer:

\(\frac{1}{2}\)