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Algebra 2
Unit 10, Day 8
Name: _________________________
Date: ______________ Period: _____
Probability Practice & Other Review
1. The wheel at right is spun once. Find the probability that the point stops at:
a) red or green
b) yellow or green
c) not red and not green
d) red or not green
red
green
green
red
yellow
2. A die is rolled and a coin is tossed. Find the probability of getting:
a) a 5 and heads
b) an odd number and heads
c) an even number and tails
d) a number less than 5 and tails
3. A jar contains 6 green marbles and 4 black marbles. A marble is chosen at random and replaced
before a second marble is chosen. Find each probability.
a) P (both marbles are black)
b) P (both marbles are green)
c) P (black marble, then green marble)
d) P (not black both times)
4. A jar contains 6 green marbles and 4 black marbles. A marble is chosen at random and NOT replaced
before a second marble is chosen. Find each probability.
a) P (both marbles are black)
b) P (both marbles are green)
c) P (black marble, then green marble)
d) P (green marble, then black marble)
5. Five tags numbered 1 through 5 are in a bowl. A tag is drawn at random and is not replaced. Then a
second tag is drawn. Find each probability.
a) P (the 1st number is odd and the 2nd is even)
b) P (the 1st number is 4 and the 2nd is less than 4)
c) P (both numbers are odd)
d) (both numbers are less than 4)
e) P (the 2nd number is odd, given that the 1st is even)
f) P (the 2nd number is less than 4, given that the 1st is less than four)
6. Compute the following probabilities.
a) If P(A) = 0.46, find P(AC).
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b) If P(BC) = 0.008, find P(B).
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7. The probabilities that Sergio will try out for various sports and team positions are shown in the chart
below.
Sergio
Try out for hockey team
Try out for
goalie
70%
Try out for
forward
30%
Try out for football team
Try out for
quarterback
60%
Try out for
tackle guard
40%
Sergio will definitely try out for either hockey or football, but not both. The probability that Sergio will
try out for football and try out for quarterback is 48%. What is the probability that Sergio will try out for
hockey?
Mixed Practice:
1. Factor all expressions completely across the rationals.
a) x 8  x 4  30
b) x4  17 x2  16
c) x3  5x2  2 x  10
d) 4 x3  12 x2  5x  15
e) x 3  729
f) 27 x 3  64 y 3
2. Solve for all solutions of x.
a) x 4  2 x 2  48  0
b) x 4  81  0
c) 3x 3  6 x 2  4 x  8  0
d) x 3  216  0
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3. You play the game Wheel of Few Bucks. You spin twice and only win if two spins match. If you win,
you win the amounts shown (e.g., $1, $5, or $20). The wheel has the following probabilities:
1
1
1
P($1) =
P($5) =
P($20) =
2
4
4
a) Draw an area diagram for all possible outcomes b) Determine the following probabilities.
for two spins.
i) P(both spins are $5) =
ii)
P(winning anything) =
iii) P(at least one spin is $5) =
iv) P(both spins < $20) =
c) What is the expected value for the game?
d) Should you play the game if it costs
$1.50 each time to play? Explain.
4. Consider a deck of 52 playing cards. Determine the following probabilities.
a) P(jack) =
d) P(♣ | black card) =
g) P(2 or black card) =
b) P(red card) =
e) P(2 ♣ | ♣) =
h) P(face card and K) =
c) P(J ♥ | red card) =
f) P(2 or K) =
i) P(face card and black) =
5. Given P( x)  x3  3x 2  10 x  24
a) List all the possible rational zeros.
p

q
c) Sketch a graph of y  P( x ) . Label
all intercepts.
b) Determine all zeros: x = _____________
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