A referee flips a coin three times. Identify the sample space (the correct list of possible outcomes) for the referee's results.
H = heads, T = tails
The notation HHT means the first toss was heads, the second toss was
heads, and the third toss was tails.
O A. {TT, TH, HT, HH}
O B. {, THTH, }
O C. {TTT, TTH, HHH)
D. {TTT, TTH, THT, THH, HTT, HTH, HHT, HHH}

D)   { HHH,HHT,TTT,THH,TTH,THT,HTH,HTT}

The sample space

 = { HHH,HHT,TTT,THH,TTH,THT,HTH,HTT}

n(S) = 8

Step-by-step explanation:

Explanation:-

A referee flips a coin three times.

Let 'S' be the sample space

HHH → Three tosses has Heads

HHT → → first toss head , the second toss head and the third toss was tail

TTT→  Three tosses has tails

THH→ first toss one tail , the second toss head and the third toss was head

TTH → first toss one tail , the second toss Tail and the third toss was head

THT → first toss one tail , the second toss Head and the third toss was Tail

HTH→ first toss one head , the second toss Tail and the third toss was head

HTT→ first toss head , the second toss Tail and the third toss was tail

The sample space

 = { HHH,HHT,TTT,THH,TTH,THT,HTH,HTT} = 8

-6 is the correct option from the above given options