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}

there are outcomes in the sample space.
(type a whole number.)

Explanation:

Identify the sample space

Using the Sample Space Outcomes knowledge point

$$ S = \{\text{HHH}, \text{HHT}, \text{HTH}, \text{HTT}, \text{THH}, \text{THT}, \text{TTH}, \text{TTT}\} $$

Determine the number of outcomes

Using the Sample Space Outcomes knowledge point

$$ N = 2^3 = 8 $$

Answer:

Question 1

• 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}

Question 2

There are <blank>8</blank> outcomes in the sample space.