Download Honors Geometry Chapter 4 Worksheet #4 Name:

Honors Geometry Chapter 4 Worksheet #4
Name:
Period:
(1) There are twenty markers in a box — eight are dried up, and the rest are brand new. If Bonnie
reaches in and grabs a marker, what is the probability that it is not dried up?
a) 3/5
b) 2/5
c) 1/12
d) 3/4
(2) Jar A contains 6 green marbles, 4 red marbles, and 2 blue marbles. Jar B contains 2 green
marbles, 8 red marbles, and 4 blue marbles.
(a) What is the probability that Joe
chooses a green marble from Jar A
and then a blue one from Jar B?
(b) If Lois chooses one marble from
each jar, what is the probability that
they are both red?
(c) If Brian chooses one marble
from Jar A, replaces it, and then
chooses another, what is the
probability that they are both red?
(d) If Peter chooses one marble out of Jar B
and does not put it back before pulling out
another marble, what is the probability that…
(i) the marbles are both red?
(ii) one is red and the other is blue?
(3) Quagmire’s left pocket contains two red jellybeans and four purple jellybeans. His right pocket
contains six red jellybeans and six purple jellybeans. If he picks one jellybean from each pocket, what
is the probability they are both red?
a) 1/3
b) 1/9
c) 5/36
(4) Stewie has a 70% chance of graduating from high school.
If he does graduate, he has an 80% chance of getting a
good-paying job. If he does not graduate, his chances of
getting a good-paying job fall to only 10%. What is the
probability that Stewie gets a good-paying job?
(5) Meg has to choose between Math Analysis or Statistics
for her math class next year. She says she is 60% sure she
will take Math Analysis. If she chooses that class, she has
a 70% chance of getting an A. If she takes Statistics,
she has an 80% chance of getting an A. What are the
chances she gets an A in math next year?
(6) Chris is trying to decide what his college major will
be — Business or Chemistry. He is 60% sure that he’ll choose
Business. If he does choose Business, there is a 95% chance he
will graduate early. If he chooses Chemistry, there is only a
10% chance of graduating early. What is the probability he
graduates early?
d) 1/6
(7) There are 15 cans of diet cola and 12 cans of regular cola in a cooler.
(a) What is the probability that someone randomly reaches into the cooler and pulls out a can
of regular cola, then a can of diet cola?
(b) What is the probability that someone randomly reaches into the cooler and pulls out two
cans of diet cola in a row?
(c) What is the probability that someone randomly reaches into the cooler and pulls out three
cans of diet cola in a row?
(d) What is the probability that someone randomly reaches into the cooler and pulls out a can
of regular cola, puts it back, then pulls out a can of diet cola?
(8) Bonnie is entering a baking contest and is deciding
what to bake — either a carrot cake or a cherry pie. If she
bakes the carrot cake, she has a 30% chance of burning it.
If she chooses the cherry pie, she has a 50% chance of
burning it. The probability that she chooses and actually
burns a carrot cake is 18%. What is the probability she
will bake the cherry pie?
(9) Cleveland is deciding whether to lift weights or run on the
treadmill at the gym. If he chooses to lift weights, he has
a 60% chance of injuring himself. If he chooses to run on
the treadmill, he has a 30% chance of injuring himself.
The probability that he runs on the treadmill and does
not injure himself is 35%. What is the probability he
will choose to lift weights?
(10) Officer Swanson is pursuing a robbery suspect and must
choose whether or not to call for backup. If he does call
for backup, he has an 80% chance of catching the suspect.
If he doesn’t call for backup, he has a 10% chance of
catching the suspect. If the probability that he calls for
backup and does not catch the suspect is 12%, what is
the probability that he does not call for backup?
(11) There is a 20% chance of tornadoes in Oklahoma and a 60% chance of tornadoes in Nebraska
today. What is the probability that neither city gets hit by a tornado?