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

a coin will be tossed three times, 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 tails. use the format hth to mean that the first toss is heads, the second is tails, and the third is heads. if there is more than one element in the set, separate them with commas. sample space: {} event that the first toss is tails: {}

a coin will be tossed three times, 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 tails. use the format hth to mean that the first toss is heads, the second is tails, and the third is heads. if there is more than one element in the set, separate them with commas. sample space: {} event that the first toss is tails: {}

Answer

Explanation:

Step1: List all possible combinations

Each toss has 2 possibilities (heads or tails). For 3 - tosses, we list all combinations. $HHH, HHT, HTH, HTT, THH, THT, TTH, TTT$

Step2: Select outcomes with first - toss as tails

From the above list, we pick the ones starting with $T$. $THH, THT, TTH, TTT$

Answer:

Sample space: $HHH, HHT, HTH, HTT, THH, THT, TTH, TTT$ Event that the first toss is tails: $THH, THT, TTH, TTT$