Question

Two

coins
are
flipped
to
decide
who
has
to
do
the
chores.
If
two

heads
are
flipped,
Matt
has
to
do
the
chores.
If
two
tails
are

flipped,
Mark
has
to
do
the
chores.
If
neither
of
these
results
is

met,
they
flip
both
coins
again.

a. How
many
different

outcomes
are
there
after
flipping
both

coins?
b. What
is
the
probability
that
Matt
has
to
do
chores?

c. What
is
the
probability
that
Mark
has
to
do
chores?

d. Is
the
method
of
decision
fair?

e. What
is
the
likelihood
that
they
must flip again?

Answer 1

Explanation:

If you flip coins, you can get,

HT TH HH TT

There are 4 possible outcomes.

Out of these 4, Matt has to do chores if two heads are flipped. It is 1/4 chance.

Out of these 4, Mark has to do chores if two tails are flipped. Again, 1/4 chance.

The method of decision is far since both guys have the same chance of being picked to do chores.

To flip again, they would have to get either HT or TH out of the 4 choices. So 2/4=1/2 is the likeihood they must flip again.