Algebra 1 Common Core Student Edition, Grade 8-9

^ Challenge 44. Suppose you roll a red n u m b e r cube an d a yellow n u m b e r cube.

a. W hat is P (red 1 an d yellow 1)?

b. W hat is P(red 2 an d yellow 2)1

c. W hat is th e probability of rolling any m atching p air of num bers? {Hint: Add the

probabilities of each of th e six m atches.)

45. A two-digit n u m b e r is form ed by random ly selecting from th e digits 1, 2, 3, an d 5
    without replacement.
    a. How m any different tw o-digit n u m b ers can b e form ed?
    b. W hat is the probability th at a tw o-digit n u m b e r contains a 2 or a 5?
    c. W hat is the probability th a t a two-digit n u m b e r is prim e?

Apply What You've Learned

Look back at th e inform ation on page 725 a b o u t the b aseball to u rn a m e n t for

w hich Luis m u st choose a location. The tables of w eath er d ata are show n

again below.

Rainfall (in.)

Avg. Temp, (°F)

Hurricane?

Oakville Climate Data for August

IffiFlffElrKilliflili

2.4

78

no

4.2

84

yes

1.8 15.1 2.6

(^897274)
no yes no
2.3 2.0 4.2
77 82 87
MATHEMAtlCAL
PRACTICES
MP3
no no yes
i
3.8
a
2.1
76 78
yes no
Fairview Climate Data for August
2007
Rainfall (in.) 4.5 1.8 2.2 5.0 5.1 4.5 2.3 3.8 4.5
Avg. Temp. (°F) (^837782808786868283)
Hurricane? no no no yes no yes no no no
a. For each city, d eterm in e th e probability th at th ere is a h u rric an e in August in any
given year.
b. Did you use theoretical probability or experim ental probability in p a rt (a)? Explain.
c. W hich city has a greater probability of having no h u rrican es in August for two years
in a row? Use th e probability of c o m p o u n d events to help you give an arg u m en t th at
justifies your answer.
782 Ch ap t er 12 Dat a An al ysi s and Pr o b ab i l i t y