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

associative property of multiplication

b. an equilateral triangle inscribed in a circle

step-by-step explanation:

we are given the figure of two circles having a triangle inside.

now, we know that,

"when a figure is lying inside an another figure, then the outside figure is known as circumscribed figure and the figure lying inside is referred to as the inscribed figure".

as we see that, the circles are containing the triangle completely.

thus, the circles are the circumscribed figures and the triangle is the inscribed figure.

hence, we get, 'an equilateral triangle is inscribed in a circle'.