Question

jo flips a coin {h, t}, then rolls a 6 - sided die {1, 2, 3, 4, 5, 6}.
which of the following outcomes are in the sample space of this experiment?
(1 point)
o h3
o hh
o 12
o t7

Explanation:

Step1: Determine sample space structure

The sample space is the set of all possible outcomes. For a coin flip (2 outcomes: H, T) and a 6 - sided die roll (6 outcomes: 1, 2, 3, 4, 5, 6), the combined sample space has \(2\times6 = 12\) elements. Each outcome is a pair \((\text{coin result},\text{die result})\).

Step2: Analyze each option

• \(H3\): This is a valid pair \((H,3)\) where \(H\) is a coin - flip result and \(3\) is a die - roll result.
• \(HH\): The second element \(H\) is not a valid die - roll result (die results are 1 - 6).
• \(12\): The first element \(1\) is not a valid coin - flip result (coin results are \(H\) or \(T\)).
• \(T7\): The second element \(7\) is not a valid die - roll result (die results are 1 - 6).

Answer:

H3