a jar contais3000 white,black and red beads . the beads are thouroughlymixed and a sample of 60 taken. the sample is found to contain 17 white beads ,32 black beads and 11 red beads. estimate the number of beads of each colour in the jar.

Answer :

We have 3000 white black and red beads

And a sample of 60 taken , then in sample we found 17 white beads ,32 black beads and 11 red beads. 

So,
We get ratio of white beads in 60  = $\frac{17}{60}$
So,
White beads in 3000  = $\frac{17}{60}\times 3000 = 17 \times 50 = \mathbf{850}$
And
We get ratio of black beads in 60  = $\frac{32}{60}$
So,
Black beads in 3000  = $\frac{32}{60}\times 3000 = 32 \times 50 = \mathbf{1600}$
And
We get ratio of red beads in 60  = $\frac{11}{60}$
So,
Red beads in 3000  = $\frac{11}{60}\times 3000 = 11 \times 50 = \mathbf{550}$
So,
we can estimate total white beads in jar  =  850  ,  black beads  =  1600 and red beads  =  550                                   ( Ans )