Question

identify the sample space of the probability experiment and determine the number of outcomes in the sample space. draw a tree diagram

tossing three coins one after another (heads (h) or tails (t))

identify the sample space of the probability experiment.

a. {hh, ht, th, tt}
b. {h, h, h, t, t, t}
c. {hhh, hht, htt, hth, thh, tht, tth, ttt}
d. {h, t}

Explanation:

Identify the experiment and outcomes

Using the Sample Space Outcomes knowledge point

$$
LATEXBLOCK0
$$

List all possible outcomes

Using the Sample Space Outcomes knowledge point

$$
LATEXBLOCK1
$$

Match with the given options

Using the Sample Space Outcomes knowledge point

$$
LATEXBLOCK2
$$

Answer:

• A. {HH, HT, TH, TT}
• B. {H, H, H, T, T, T}
• C. {HHH, HHT, HTT, HTH, THH, THT, TTH, TTT} (Correct answer)
• D. {H, T}