Question

a coin will be tossed twice, and each toss will be recorded as heads (h) or tails (t). give the sample space describing all possible outcomes. then give all of the outcomes for the event that the first toss is heads. use the format ht to mean that the first toss is heads and the second is tails. if there is more than one element in the set, separate them with commas. sample space: {} event that the first toss is heads: {}

Explanation:

Step1: List all 2-toss outcomes

For first toss: H or T; second toss: H or T. Combine all pairs: $HH, HT, TH, TT$

Step2: Filter first toss = H outcomes

Select pairs starting with H: $HH, HT$

Answer:

Sample space: $\{HH, HT, TH, TT\}$
Event that the first toss is heads: $\{HH, HT\}$