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 second 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 second toss is heads:

Explanation:

Step1: List all possible outcomes for two - coin tosses

For the first toss, there are 2 possibilities (heads or tails), and for each of these possibilities, the second toss also has 2 possibilities. So the sample - space is all combinations. The sample space $S=\{HH, HT, TH, TT\}$.

Step2: Identify outcomes with second - toss as heads

We look for outcomes where the second letter in the $HT$ format is $H$. The outcomes for the event that the second toss is heads are $\{HH, TH\}$.

Answer:

Sample space: $HH, HT, TH, TT$
Event that the second toss is heads: $HH, TH$