Question

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?

Answer 1

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 =
`\frac{\text{Total possible outcome}}{\text{Total favorable outcome}}`

Probability of choosing a pair of black jeans at random=
`(8)/(40)=(1)/(5)`