Honors Geometry Chapter 4 Worksheet #3
Name:
(1) Mr. Clownybottoms is playing a game of chance at the circus.
He spins two spinners, seen at right. If both spinners land on
the same letter, he wins. Otherwise, he loses.
Period:
#1
A
B
B
C
C
#2
A
(a) What is the probability
that he spins B on spinner #1?
(b) Consider the tree diagram at right. Fill in
the tree diagram to represent the possible
outcomes when both spinners are spun.
(c) Create an area diagram that represents
the possible outcomes when both spinners are spun.
(d) What is the probability that he spins
C on spinner #1 and A on spinner #2?
(e) What is the probability
that both spinners land on B?
(f) What is the probability that he spins an A on
the first spinner and an A on the second spinner?
(g) What is the probability
that he loses the game?
(2) Sir Dunksalot has a 70% free throw average (which means he is 70% likely to make a shot at any
given time). Assume he’s just been fouled and is standing at the line, about to take two shots.
(a) Make a conjecture: which
do you think is most likely: that
he makes both shots, misses
both, or makes only one?
(b) Create an area model that
represents the various outcomes
in this scenario. Label the model
clearly to indicate each outcome.
(c) Create a tree diagram that
represents the various outcomes
in this scenario. Use either the tree
or the area model to answer the
questions below.
(i) What is the
probability
that he makes
both shots?
(ii) What is the
probability
that he makes
one shot?
(iii) What is the
probability
that he misses
both shots?
(3) Suppose three coins are flipped — a penny, a dime, and a nickel.
(a) Make a systematic list showing all of the possible outcomes (called the “sample space”).
(b) When creating a list, does it matter which coin is flipped first? In other words, is “heads
penny, tails dime, heads nickel” the same as “heads nickel, tails dime, heads penny?” Explain.
(c) Find the probability of flipping each of the following:
(i) Three heads
(ii) At least two heads
(iii) One head
and two tails
(iv) At least one tail
(v) Exactly two
tails
(vi) At least one
head and one tail
(d) Which is more likely — flipping at least two heads or at least two tails? Explain.
(4) Suppose a standard six-sided die is rolled.
(a) What is the probability
you roll a three or a four?
(b) What is the probability
you roll an even number?
(c) What is the probability
you roll a number that is
even and divisible by four?
(d) What is the probability
you roll a number that is
odd or divisible by four?
(5) Roll two six-sided dice.
(a) What is the probability that the first roll is an even
number and the second roll is an odd number?
(b) What is the probability that both rolls result in ones?