Q1. - Algebra 2

Question

List the possible outcomes when a coin is tossed three times. Use H for heads and T for tails. 

Step-by-Step Solution

Answer

All the possible outcomes when a coin is tossed three times are:

 

HHH, HHT, HTH, THH, HTT, THT, TTH, TTT

Step 1. Given Information.

Given a coin is tossed three times. H is used for heads and T for tails.

Step 2. Explanation .

Tossing of coin is an independent event, where one toss would not affect the outcome of another toss.

The first possible outcome can be considered as all Heads i.e., HHH

 

Now when there can be two heads and one tails, the outcomes can be HHT, HTH and THH.

 

When there can be one Heads and two tails, the outcomes can be HTT, THT, TTH

When there are all tails, the outcome is TTT.

 

So, all the possible outcomes would be:

 

HHH, HHT, HTH, THH, HTT, THT, TTH, TTT

Step 3. Conclusion .

Hence, all the possible outcomes when a coin is tossed three times are:

 

HHH, HHT, HTH, THH, HTT, THT, TTH, TTT