Question

a red 4 - sided die and a green 4 - 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 even. are these events dependent or independent? find ( p(a) ) ( p(a)=square ) (simplify your answer)

Explanation:

Step1: Determine the sample space of the red die

The red die has 4 sides, numbered 1, 2, 3, 4.

Step2: Count the number of odd outcomes for the red die

The odd - numbered outcomes for the red die are 1 and 3. So, the number of favorable outcomes \(n(A)=2\).

Step3: Calculate \(P(A)\) using the probability formula

The probability formula is \(P(A)=\frac{n(A)}{n(S)}\), where \(n(S)\) is the number of elements in the sample space. For the red die, \(n(S) = 4\). Then \(P(A)=\frac{2}{4}=\frac{1}{2}\).

Answer:

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