A
6‐sided
die
is
rolled
and
then
a
coin
is
flipped
during
the

process
of
a
game.
jacob
wins
the
game
if
a
tail
is
flipped
and
an

even
number
is
rolled.
amanda
wins
the
game
if
a
head
is
flipped

on
the
coin.
a. how
many
different

outcomes
are
there?

b. what
is
the
probability
that
jacob
wins?

c. what
is
the
probability
that
amanda
wins?

d. is
the
game
fair?

e. are
there
any
outcomes
where
the
game
is
not
decided?

Step-by-step explanation:

die rolled and coin flipped

Jacob wins if tail and even number

Amanda wins if head

Outcomes,

1H 2H 3H 4H 5H 6H

1T 2T 3T 4T 5T 6T

12 outcomes.

b) Prob of Jacob winning (tail and even number)

2T 4T 6T

3/12 total outcomes

1/4 probability

c) prob of Amanda winning (head)

6/12

1/2

d) the game is not far because both people do not have equal chances of winning

e) Yes, Tail and odd is where the outcome is not decided.

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.