Concept explainers
Suppose you toss one coin three times in a row and get heads, tails, heads (HTH). If you are interested in the number of heads that appear, which one of the following sets of three tosses has a different outcome but corresponds to the same event as the first set of tosses?
- THT
- HHT
- HHH
Answer to Problem 1QQ
Solution: Option b. HHT
Explanation of Solution
Given: Suppose one coin is tossed three times in a row and get heads, tails, heads (HTH).
Method used: Number of heads in HTH is two so the event which also has two heads is same as the event {HTH}.
Calculation:
Since the event {THT} has only one heads, so option a. is incorrect.
Since the event {HHH} has three heads, so option c. is incorrect.
Since the event {HHT} has two heads, one tails, and the given event {HTH} also has two heads, one tails, so {HHT} is same as the given event.
Conclusion: Therefore, option b is correct that is HHT is the correct answer.
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