The distribution of Scrabble tiles and their points are given below. As you might expect, there are more vowels and common consonants (e.g. R,T). High point tiles such as Q and Z occur less frequently. popular game of Scrabble. Topics covered: 1. Sample spaces 2. Relative frequency and probability 3. Rules of probability W lid g o eo o 4. Sampling with and without replacement One game has 100 tiles total. Weight Point' Value Frequency Probability 1 pt 3 pts 3 pts 2 pts 1 pt 4 pts 2 pts 4 pts 1 pt 8 pts 5 pts 1 pt 3 pts 1 pt Total Frea/ Total Letter Point Value | Frequency | Probability 8. Letter 1 pt 3 pts 10 pts 1 pt 1 pt 1 pt 1 pt 4 pts 4 pts 8 pts 4 pts 10 pts 0 pts 9. .08 .02 C 2 Q 1 01 D L04 R 6 E 12 4 .04 .12 S .02 .03 T 6 .04 .02 .02 .01 02 .01 .02 U 4 H .02 .09 .01 .01 .04 02 2 V 9. W J 1 1 K 1 Y 2 L 4 1 2 Blank 6. 1. Suppose we were to perform an experiment that consisted of drawing one tile from the bag, Answer the following questions for this particular experiment. (a) The sample space is all possible outcomes of a random phenomenon. Give the sample space for our experiment. 21 P: SA.B.C.D.E. F.G.H.I.J.K.L.M.N.O.P.O,R.S.T.U.V.W.X.Y.Z.blank? (b) If the outcomes are equally likely (i.e. every tile has the same chance of being selected), the probability of an event is defined by Number of outcomes in the event Total number of outcomes P(event):
The distribution of Scrabble tiles and their points are given below. As you might expect, there are more vowels and common consonants (e.g. R,T). High point tiles such as Q and Z occur less frequently. popular game of Scrabble. Topics covered: 1. Sample spaces 2. Relative frequency and probability 3. Rules of probability W lid g o eo o 4. Sampling with and without replacement One game has 100 tiles total. Weight Point' Value Frequency Probability 1 pt 3 pts 3 pts 2 pts 1 pt 4 pts 2 pts 4 pts 1 pt 8 pts 5 pts 1 pt 3 pts 1 pt Total Frea/ Total Letter Point Value | Frequency | Probability 8. Letter 1 pt 3 pts 10 pts 1 pt 1 pt 1 pt 1 pt 4 pts 4 pts 8 pts 4 pts 10 pts 0 pts 9. .08 .02 C 2 Q 1 01 D L04 R 6 E 12 4 .04 .12 S .02 .03 T 6 .04 .02 .02 .01 02 .01 .02 U 4 H .02 .09 .01 .01 .04 02 2 V 9. W J 1 1 K 1 Y 2 L 4 1 2 Blank 6. 1. Suppose we were to perform an experiment that consisted of drawing one tile from the bag, Answer the following questions for this particular experiment. (a) The sample space is all possible outcomes of a random phenomenon. Give the sample space for our experiment. 21 P: SA.B.C.D.E. F.G.H.I.J.K.L.M.N.O.P.O,R.S.T.U.V.W.X.Y.Z.blank? (b) If the outcomes are equally likely (i.e. every tile has the same chance of being selected), the probability of an event is defined by Number of outcomes in the event Total number of outcomes P(event):
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 4SE: What is the difference between events and outcomes? Give an example of both using the sample space...
Related questions
Question
Transcribed Image Text:The distribution of Scrabble tiles and their points are given below. As you might expect, there are
more vowels and common consonants (e.g. R,T). High point tiles such as Q and Z occur less frequently.
190
35
popular game of Scrabble.
Topics covered:
1. Sample spaces
2. Relative frequency and probability
3. Rules of probability
4. Sampling with and without replacement
One game has 100 tiles total.
Weight
Total -
Letter Point' Value | Frequency Probability
Frea Total
Letter | Point Value | Frequency Probability
.08
A
1 pt
3 pts
3 pts
2 pts
1 pt
4 pts
2 pts
4 pts
9
1 pt
3 pts
10 pts
1 pt
1 pt
1 pt
1 pt
4 pts
4 pts
8 pts
B
.09
.02
,01
2
.02
2
Q
L04
R
6.
E
12
.12
4
.04
F
.02
6
G
3
.03
04
.02
.02
U
4.
H
2
. 02
V
I
1 pt
8 pts
5 pts
1 pt
3 pts
1 pt
W
2
J
.01
.01
.04
1
1
.01
02
.01
.02
K
1
Y
4 pts
10 pts
0 pts
2
4
1
M
2
.02
Blank
1. Suppose we were to perform an experiment that consisted of drawing one tile from the bag.
Answer the following questions for this particular experiment.
(a) The sample space is all possible outcomes of a random phenomenon. Give the sample space
for our experiment.
21
P:{A.B.C.D.E. F.G.H.I.J.K.L.M.N.O. P.O,R.S.T.U.V.W.X.Y.Z.blank?
(b) If the outcomes are equally likely (i.e. every tile has the same chance of being selected), the
probability of an event is defined by
Number of outcomes in the event
Total number of outcomes
P(event)
Find the probability of the 27 events draw an A, draw a B, ..., draw a blank. Record your
answers in the table above.
(probabilityl
bmly s
Transcribed Image Text:for four
robability that a randomly selected gam
fessional spo
Am r the he That same
er of Amr d the e
(b) Find the prob
HOLI 2
lu shot) and F- (e the ), wie the gi ufir dat
hm a e in dif
P(S),42 PLF)", 28 PLC
What is the p
(c) What is the probability of drawing the first letter of your first name? What is the probability
of drawing any letter but this one?
PIS
is won
36
arobabil
edo
P
P(NOT drawing letter) = ,04
P(drawing letter) = .Ole
1-.06 =. 04
(d) Find the probability of drawing a consonant, NOTE: The "Blank" tile will not be counted
as a vowel or consonant. Also, consider the "Y" tile a consonant for this activity.
Letter: T
noy A ld novi ne hitot odi
ba bea ant tiog daif (T
(e) Find the probability of drawing a tile worth one point.
Plone point) 5/100
=.05
(f) Find the probability of drawing a consonant and a tile worth one point.
Plcnip)
(g) Find the probability of drawing a consonant or a tile worth one point,.
(h) Two events A and B are independent if P(A and B) = P(A)P(B). Let A = draw a consonant
and B = draw a tile worth one point. Are these two events independent?
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