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 heads. 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 heads: {}

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 heads. 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 heads: {}

Answer

Explanation:

Step1: List all possible combinations for 3 - coin tosses

Each coin - toss has 2 possibilities (heads or tails). For 3 coin - tosses, we consider all possible sequences. HHH, HHT, HTH, HTT, THH, THT, TTH, TTT

Step2: Select outcomes with first toss as heads

From the sample space, we pick the outcomes where the first letter is 'H'. HHH, HHT, HTH, HTT

Answer:

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