Question

Susan has some beads in a bag.h!!

5 of the beads are orange.!!
3 of the beads are purple.!!
The rest of the beads are pink. !Susan takes a bead from the bag at random.! The probability that she takes a pink bead is ⅗!How many pink beads are in the bag before Susan takes a bead?

Answer 1

Questions:- How many pink beads

are there in the bag ?

Given :-

1. 5 beads are orange
2. 3 beads are purple
3. except orange and purple all are pink
4. ⅗ is the probability of the pink beads

To find :- Number of pink beads.

Explanation:-

Sum of the given orange and purple beads ->

5+3=8 beads .

sum of all the probabilities is equal to 1

so :-

1 = probality of orange and purple+probality of pink

Probality of orange and purple =

1 - probality of pink

Probality of orange and purple = 1-⅗

`Probality = (5 - 3)/(5) = (2)/(5)`

we know :-

`Probality= (number \: of \: one \: type )/(total \: number \: of \: beads )`

Putting the values in equation:-

`(2)/(5) = (8)/(total \: number \: of \: beads) \\ total \: number \: of \: beads = (8 * 5)/(2) \\ beads = \frac{ \cancel8 {}^( \: \: 4) * 5 }{ \cancel2} = 4 * 5 \\ beads \: = 20`

Number of pink beads = total number of beads - numbe of orange and purple beads

Pink beads = 20 -5-3

Pink beads = 20 -8 = 12 beads

Answer = Pink = 12 beads