Question

enter the correct answer
a spinner has 4 equal sections (red,
blue, green, yellow), and a coin is fair
(heads or tails). what is the probability
of spinning red and flipping heads?
event a: spinner lands on red
event b: coin lands on heads
p(a, then b) =?
give your answer as a fraction in simplest form.
compound probability
independent events
p(a, then b) =
p(a)·p(b)

Explanation:

Step1: Calculate P(A)

Spinner has 4 equal sections, so \( P(A) = \frac{1}{4} \).

Step2: Calculate P(B)

Fair coin has 2 outcomes, so \( P(B) = \frac{1}{2} \).

Step3: Find P(A then B)

Multiply independent probabilities: \( P(A) \cdot P(B) = \frac{1}{4} \cdot \frac{1}{2} = \frac{1}{8} \).

Answer:

\(\frac{1}{8}\)