Use the table.

style color
regular light blue
loose fit indigo
boot cut washed
slim fit black
blue

a. how many possible pairs of jeans are there if each pair has one style and one color?

b. suppose you have one pair of jeans of each possible style and color in the table. what is the probability of choosing a pair of black jeans at random?

Solution:

The table which is about kind of jeans and it's color is

Style       Color  

regular      light blue  

loose fit    indigo  

boot cut     washed  

slim fit       black

 slim fit     blue

(a) A regular can be chosen out of five  colors, A loose fit can also be chosen in five colors,Similarly a boot cut as well as slim fit can also  be chosen out of five colors.

If you consider this as a relation , total number of relation that is total jeans =  1×5 + 1×5 +1×5+1×5= 20 Jeans = 10 Pairs of jeans(Possible)

(b)  Total number of jeans , if i have one pair of jeans of each possible style and color = As there are 5 colors and 4 styles , the jeans are in pair = 5×4×2=40

Number of Black color jeans = 2× black color in  4 styles= 2×4=8

Probability of an event =

Probability of choosing a pair of black jeans at random=

452,489 to the nearest thousand is 452,000