Question

Three coins are tossed
a)determine the number of points in the sample space
b)construct a tree diagram and list the sample space
determine the probability that
c)no heads are tossed
d)exactly on head is tossed
e)three heads are tossed

Answer 1

there are 8 elements in the sample space by the counting principle
2 for each toss
3 tosses
\(2^3=8\)

Answer 2

because 8 is a relatively small number we can write them all out
H H H
H H T
H T H
T H H
H T T
T H T
T T H
T T T

and now it is a matter of counting to finish your questions

Answer 3

no head are tossed? one (T T T) out of the 8, so probability is \(\frac{1}{8}\)
the rest are done the same way, by counting, and putting the result over 8

Answer 4

thanks