Question

Use the table.

Answer 1

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

Probability of choosing a pair of black jeans at random=$\frac{8}{40}=\frac{1}{5}$