Question

A fair coin is flipped three times.

The sample space for this experiment is as follows:
{HHH, HHT, HTH, HTT, THH, THT, TTH, TTT}
Which table represents the experiment and the probabilities for number of heads?
Table A
Number of Heads, x
P(x)
0
StartFraction 3 Over 8 EndFraction
1
StartFraction 1 Over 8 EndFraction
2
StartFraction 1 Over 8 EndFraction
3
StartFraction 3 Over 8 EndFraction

Table B
Number of Heads, x
P(x)
3
StartFraction 3 Over 8 EndFraction
2
StartFraction 3 Over 8 EndFraction
1
StartFraction 3 Over 8 EndFraction
0
StartFraction 3 Over 8 EndFraction

Table C
Number of Heads, x
P(x)
3
StartFraction 1 Over 8 EndFraction
2
StartFraction 1 Over 8 EndFraction
1
StartFraction 1 Over 8 EndFraction
0
StartFraction 1 Over 8 EndFraction

Table D
Number of Heads, x
P(x)
0
StartFraction 1 Over 8 EndFraction
1
StartFraction 3 Over 8 EndFraction
2
StartFraction 3 Over 8 EndFraction
3
StartFraction 1 Over 8 EndFraction

a.
Table A
b.
Table B
c.
Table C
d.
Table D



Please select the best answer from the choices provided


A
B
C
D

Answer 1

d

Explanation:

Answer 2

D

Explanation:

Basically there were 8 outcomes on this table.

HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

Only once did H come 0 times and it happened at TTT

Three times, H came once at HTT, THT, TTH

Three times, H came twice at HHT, HTH, THH.

Only once H came three times at HHH.