Question

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sample space and venn diagrams: mastery test
2
select the correct answer.
josé flips a coin two times. if h is heads and t is tails, what is the sample space for this compound event?
a. h - h, h - t, t - h
b. h - h, h - t, t - t, t - h
c. h - t, t - h
d. h - h, t - h, t - t

Explanation:

Step1: Analyze the first coin flip

The first coin flip can result in either \(H\) or \(T\).

Step2: Analyze the second coin flip for each case of the first flip

• If the first flip is \(H\), the second flip can be \(H\) (resulting in \(H - H\)) or \(T\) (resulting in \(H - T\)).
• If the first flip is \(T\), the second flip can be \(H\) (resulting in \(T - H\)) or \(T\) (resulting in \(T - T\)).

Answer:

B. \(H - H\), \(H - T\), \(T - T\), \(T - H\)