Answer:
1) sample space = {HHH, HHT, HTH, THH, THT, TTH, HTT, TTT}
2) pr(tossing heads exactly twice) = [tex]\frac{3}{8}[/tex]
3) pr(tossing tails at least twice) = [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
In tossing a coin three times, the sample space is the possible outcomes for the number of toss.
So that for the question,
1) The sample space = {HHH, HHT, HTH, THH, THT, TTH, HTT, TTT}
The total number of possible outcome is 8.
2) pr(tossing heads exactly twice) = [tex]\frac{numner of outcome with exactly two heads}{total number of outcome}[/tex]
= [tex]\frac{3}{8}[/tex]
3) pr(tossing tails at least twice) = [tex]\frac{number of outcome with at least two tails}{total number of outcome}[/tex]
= [tex]\frac{4}{8}[/tex]
= [tex]\frac{1}{2}[/tex]
