Question

if a person spins a six - space spinner and then flips a coin, describe the sample space of possible outcomes using 1, 2, 3, 4, 5, 6 for the spinner outcomes and h, t for the coin outcomes. type the outcomes in the form 1h or h1, which would be the outcome of spinning a 1 and flipping heads. the sample space is s = {}(use a comma to separate answers as needed.)

Explanation:

Step1: List spinner outcomes

Spinner outcomes: \(1,2,3,4,5,6\)

Step2: List coin outcomes

Coin outcomes: \(H,T\)

Step3: Combine outcomes

For each spinner outcome \(n\) (\(n = 1,2,\cdots,6\)), combine with \(H\) and \(T\).
When \(n = 1\): \(1H,1T\)
When \(n = 2\): \(2H,2T\)
When \(n = 3\): \(3H,3T\)
When \(n = 4\): \(4H,4T\)
When \(n = 5\): \(5H,5T\)
When \(n = 6\): \(6H,6T\)

Answer:

\(1H,1T,2H,2T,3H,3T,4H,4T,5H,5T,6H,6T\)