Transcript Blank Jeopardy - Fayette County Public Schools

Probably So
And
Or
Not
You Can
Count On It
A Roll
of the Dice
Probability
Potpourri
5 pt
5 pt
5 pt
5 pt
5 pt
10 pt
10 pt
10 pt
10 pt
10 pt
15 pt
15 pt
15 pt
15 pt
15 pt
20 pt
20 pt
20 pt
20 pt
20 pt
25 pt
25 pt
25 pt
25 pt
25 1pt
You roll a die. What is the
probability that you get a 5?
2
1/6
3
You flip two coins. What is the
probability that you get two tails?
4
P(T,T)
P(T)P(T)
½*½
=1/4
5
You flip two coins. What is the
probability that you get at least
one Tails ?
6
1 – P(H,H)
1 – P(H)P(H)
1–½*½
1–¼
=3/4
7
You draw one card from a deck.
What is the probability that it is a
red face card?
(consider aces as face cards)
8
8/52 = 2/13
9
You run a poll to see where
people buy groceries. Here are
your results:
Store
# of Shoppers
Wal-Mart
10
Kroger
8
Target
3
Meijer
1
Based on your data. If you ask a person at random,
what is the probability that they buy groceries at
10
somewhere besides Wal-Mart?
(8+3+1)/22 = 12/22 = 6/11
or
1 – (10/22) = 12/22 = 6/11
11
Which pair of events is NOT
mutually exclusive?
A) being male, being female
B) drawing a king, drawing a queen
C) being male, being a sophomore
D) picking a red M&M, picking a
green M&M
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C) Being a male, being a
sophomore
13
You draw one card, look at it, and
replace it. Then you draw a
second card. What is the
probability that:
you draw a king followed by a
queen
14
INDEPENDENT “AND” EVENTS
P(K, Q)
P(K)*P(Q)
(4/52)*(4/52) = 1/169
= .0059
15
If you choose a person in class at
random, the probability that they
are a senior is 52%. The
probability that the person is a
freshman is 21%.
What is the probability that the
person you select is a freshman
OR a senior?
16
Mutually Exclusive Events
P(F OR Sr)
P(F) + P(Sr)
52% +21%
=73%
17
You draw a single card from a
deck of 52. What is the
probability that you get a face
card or a diamond?
18
NOT Mutually Exclusive!
P(Face OR Diamond)
P(Face) + P(Diamond) – P(Face & Diamond)
(16/52) + (13/52) – (4/52)
= 25/52
=0.481
19
You draw two cards without
replacement. What is the
probability that they are not both
face cards?
20
1 – P(Face, Face)
1 – (16/52)(15/51)=
1 – (240/2652)
1 – 0.0905
0.9095
21
Compute this:
P6,4
22
6!
6  5  4  3  2 1

 360
(6  4)!
2 1
23
You are taking a 10 problem
multiple choice test. There are 4
choices for each question. How
many different ways could you
complete the test?
24
10
4
= 1,048,576
25
Dunbar is hiring 4 new janitors,
but 10 people have applied for
the jobs. How many different
ways could the school fill the 4
positions?
26
10!
C10,4  4!(10  4)!  210
27
There are 10 math teachers at
Dunbar, and only 7 classrooms.
How many ways could
classrooms be assigned to
teachers?
28
10!
P10,7  (10  7)!  604,800
29
You are going on a trip and can
only take 4 friends. There are 7
guys and 5 girls in consideration
for the trip. If you select the
group completely at random,
what is the probability that you
select all girls?
30
C5,4
C12,4
 0.01
31
You roll two dice. What is the
probability that you get two
sixes?
32
P(6,6)
P(6)*P(6)
(1/6)(1/6) = 1/36
33
You are playing Yahtzee.
(Each turn you roll 6 dice.)
On any given turn, what is the
probability that you will get all
1’s?
34
(1/6)6 = 1/46656
35
You roll two dice. What is the
probability that you will get a
sum of 6?
36
Die 1 Die 2
1
5
2
4
3
3
4
2
5
1
P(sum of 6) = 5/36
37
You roll a single die. What is the
probability of that you get an
even number or a multiple of 3?
38
P(even OR mult of 3)
P(even) + P(mult of 3) – P(even)*P(mult of 3)
3/6 + 2/6 – (3/6)(2/6)
3/6 + 2/6 – 1/6
4/6 = 2/3
39
You roll two dice. What is the
probability that you do not get
two even numbers?
40
1 – P(even)*P(even)
1 – (1/2)(1/2)
1 – 1/4
= 3/4
or
P(odd,even OR even,odd OR odd, odd)
P(odd,even) + P(even, odd) + P(odd, odd)
(1/2)(1/2) + (1/2)(1/2) + (1/2)(1/2)
¼ + ¼ + ¼ = 3/4
41
You flip a coin 4 times.
What is the probability that you
get 4 Heads?
42
P(H,H,H,H)
P(H)*P(H)*P(H)*P(H)
(1/2)(1/2)(1/2)(1/2)
(1/2)4 = 1/16
43
Which of the following are NOT
independent events?
a) Flipping two coins
b) Drawing two cards without
replacement
c) Rolling two dice
d) Choosing two random numbers
44
b) Drawing two cards without
replacement
45
You are rolling two dice. What is
the probability that you get a sum
of 3?
46
P(1,2 OR 2,1)
P(1,2) + P(2,1)
(1/6)(1/6) + (1/6)(1/6)
(2/36)
= 1/18
47
There are 23 people in class. A class poll
gave the following results:
10 students are taking Geometry
6 students are taking Band
3 of these students are enrolled in both.
If you choose a student at
random, what is the probability
that are a Band student OR a
Geometry student?
48
(10/23) + (6/23) – (3/23)
= 13/23
49
You draw two cards at random.
What is the probability that you
get 21?
(one of the two cards is an ace &
the other is a 10, jack, queen, or
king)
Hint: you could get the Ace first OR the face
card first.
50
P(ace, 10 value) OR P(10 value, ace)
P(ace)P(10 value) + P(10 value)P(ace)
(4/52)(16/51) + (16/52)(4/51)
= (64/2652) + (64/2652)
= 0.024 + 0.024
= 0.048
51
FINAL JEOPARDY!!
You are playing BlackJack (just you vs. the
dealer). You have an Ace and a 5. You notice
that he is “showing” an Ace. If neither of you
take another card, what is the probability that
you beat the dealer?
Hint: You’re looking for the probability that the hidden
card is a…
Hint 2: How many cards are unaccounted for?
52
Probability that the hidden card is a:
Ace OR 2 OR 3 OR 4
2/49 + 4/49 + 4/49 + 4/49
14/49 = 2/7
53