Chapter 7.A, Problem 1QQ

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?

1. THT
2. HHT
3. HHH

To determine

The event which has a different outcome but is same as the event {HTH}.

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.