Question

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?

Answer 1

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.