Question

a coin is tossed 4 times. the sample space consists of the set of possible sequences of heads and tails

a) for how many points of the sample space is the number of heads more than the number of tails

b) for how many points is the number of heads less than the number of tails

PLEASE GIVE DETAILED ANSWER

Answer 1

Total outcomes of tossing of a coin 4 times

Toss 1	Toss 2	Toss 3	Toss 4
H	H	H	H
H	H	H	T
H	H	T	H
H	H	T	T
H	T	H	H
H	T	H	T
H	T	T	H
H	T	T	T
T	H	H	H
T	H	H	T
T	H	T	H
T	H	T	T
T	T	H	H
T	T	H	T
T	T	T	H
T	T	T	T

a) for how many points of the sample space is the number of heads more than the number of tails

Toss 1	Toss 2	Toss 3	Toss 4
H	H	H	H
H	H	H	T
H	H	T	H
H	H	T	T
H	T	H	H
H	T	H	T
H	T	T	H
H	T	T	T
T	H	H	H
T	H	H	T
T	H	T	H
T	H	T	T
T	T	H	H
T	T	H	T
T	T	T	H
T	T	T	T

Number of points = 5

b) for how many points is the number of heads less than the number of tails

Toss 1	Toss 2	Toss 3	Toss 4
H	H	H	H
H	H	H	T
H	H	T	H
H	H	T	T
H	T	H	H
H	T	H	T
H	T	T	H
H	T	T	T
T	H	H	H
T	H	H	T
T	H	T	H
T	H	T	T
T	T	H	H
T	T	H	T
T	T	T	H
T	T	T	T

Number of points = 5