a coin will be tossed twice, and each toss will be recorded as heads (h) or tails (t). give the sample space…

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 tails. 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 tails: {}

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 tails. 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 tails: {}

Answer

Answer:

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

Explanation:

Step1: List first - toss outcomes

For the first coin - toss, there are 2 outcomes: heads ($H$) or tails ($T$).

Step2: Combine with second - toss outcomes

If the first toss is $H$, the second toss can be $H$ (giving $HH$) or $T$ (giving $HT$). If the first toss is $T$, the second toss can be $H$ (giving $TH$) or $T$ (giving $TT$). So the sample space is $HH, HT, TH, TT$.

Step3: Select outcomes with second - toss tails

From the sample space, the outcomes where the second toss is tails are $HT$ and $TT$.