Question

identify the sample space of the probability experiment and determine the number of outcomes in the sample space. draw a tree diagram. tossing two coins one after another (heads (h) or tails (t)) identify the sample space of the probability experiment. a. {h, h, h, t, t, h, t, t} b. {hh, ht, th, tt} c. {h, t, h, t} d. {h, t}

Explanation:

Step1: Analyze the first coin toss

When the first coin is tossed, there are 2 possible outcomes: \(H\) (heads) or \(T\) (tails).

Step2: Analyze the second coin toss for each outcome of the first toss

• If the first coin is \(H\), the second coin can be \(H\) (resulting in \(HH\)) or \(T\) (resulting in \(HT\)).
• If the first coin is \(T\), the second coin can be \(H\) (resulting in \(TH\)) or \(T\) (resulting in \(TT\)).

Answer:

B. \(\{HH, HT, TH, TT\}\)