Question

Three Coins 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 one head is tossed.
e) three heads are tossed.
please show work! thanks

Answer 1

a) there are 8

Answer 2

because that is so few, we can list them and then answer all the other questions by counting

Answer 3

you can make a "tree" if you like but i will just list them. then i can try to draw a tree here,
the 8 elements are
H H H
H H T
H T H
T H H
H T T
T H T
T T H
T T T

Answer 4

hope it is clear what the notation means. for example H T T means first coin was heads, second was tails, third was tails

Answer 5

3) no heads are tossed.
that means you got
T T T
one change out of a total of 8, so probability you get no heads is
\[\frac{1}{8}\] in other words it happens about one-eighths of the time

Answer 6

thanku so much statellite for your help! only 1 week left and i will be done with math!

Answer 7

d) exactly one head is tossed. here we have more than one chance out of 8
T T H
TH T
H T T
3 possibilities so the probability is
\[\frac{3}{8}\]

Answer 8

you will never be done with math, just perhaps done with math in school!

Answer 9

3 heads are tossed.
H H H
one way out of 8 so
\[\frac{1}{8}\]

Answer 10

hope the reasoning is more or less clear. oh and of course you are welcome

Answer 11

thanks again