Question

Give the sample space describing all possible outcomes. Then give all the outcomes for the event that the second toss is heads. Use the format HT to mean that the first toss is heads and the second toss is tails.If there is more than one element in the set, separate them with commas.

Answer 1

When you toss a coin the sample space is {H, T}. Similarly, if a coin is tossed twice, the sample space is HH,HT,TH and TT, which are the possible combinations.

We can see this by means of the following tree diagram:

Therefore, the sample space is

`\mleft\lbrace HH,HT,TH,TT\mright\rbrace`

Event that the second toss is heads:

`\mleft\lbrace HH,\text{ TH}\mright\rbrace`