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?

Respuesta :

Answer:

Step-by-step 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.

The required results to the Probability problems are listed as follows:

  • We have 4 different outcomes which are: HT TH HH TT
  • probability that matt will do chores = [tex]\frac{1}{4}[/tex]
  • probability that Mark will do chores = [tex]\frac{1}{4}[/tex]
  • Yes, the method is fair as the chance are equal for both to happen
  • Probability of flipping again = [tex]\frac{1}{2}[/tex] since its having one head and one tail

Meaning of probability

Probability is the chance of occurrence of an event. it is a major area in mathematics and it is good that we all understand how it works because its application stretches through our daily affairs.

Probability can be said to also mean the degree of occurrence of an event.

In conclusion, the probability problems have been answered above.

Learn more about Probability : https://brainly.com/question/24756209

#SPJ2