Question

Ryan has 7 black pairs of socks, 3 pair of brown socks, and 8 white pairs of socks in his wardrobe. He randomly picks one pair. Find P(NOT Black) in fraction form

Answer 1

Black socks pairs = 7

Brown socks pairs = 3

White socks pairs = 8

P(not black) = ?

First, you need to add the brown & white socks pairs,

`3 + 8 = 11`

Then you need to add the total number of socks pairs,

`7 + 3 + 8 \\ = 7 + 11 \\ = 18`

P(not black)

`= (11)/(18)`

Answer 2

Explanation:

solution given:

total pair of socks[S]=(7+3+8)=18

total pair of black socks[B]=7

total pair of brown socks [C]=3

total pair of white socks[W]=8

total no of orange marbles[O]=2

now

the P( not black) =?

we have

P( not black) =1-
`(n[B])/(n[S])`

P( not black) =1-
`(7)/(18)`

P( not black) =
`(18-7)/(18)`

P( not black) =
`(11)/(18)`

so 11/18 is a required probabilty.