Box- 6 red and 2 white

A,J,K draw white ball in succession.
P(J draws)=p(RW) + p(rrrrw)= (6/8)*(2/7) + (6/8)(5/7)(4/6)(3/5)(2/4) = 3/14 + 3/28 = 9/28
IMO E
RW - Alice draws red, Jane draws white and game stops
rrrw, alice draws red, jane misses white and draws red, kate draws red, and den again alice draws red and this time jane draws white.

Hi Cans,
Thank you for your explanation indeed.
I got the logic, no problem in there but I have a question :

P(J draws)=p(RW) + p(rrrrw)= (6/8)*(2/7) + (6/8)(5/7)(4/6)(3/5)(2/4) = 3/14 + 3/28 = 9/28

The fraction I colored red is the probability of drawing white out of 2 white balls. Isn't it?
It is not the descending probability of drawing red?

Ozlemg wrote:Hi Cans,
Thank you for your explanation indeed.
I got the logic, no problem in there but I have a question :

P(J draws)=p(RW) + p(rrrrw)= (6/8)*(2/7) + (6/8)(5/7)(4/6)(3/5)(2/4) = 3/14 + 3/28 = 9/28

The fraction I colored red is the probability of drawing white out of 2 white balls. Isn't it?
It is not the descending probability of drawing red?

Yup it is probability of selecting a white ball out of remaining 4 balls

Why the last case is not considered. According to me there are 3 cases

RW = 3/14
RRRRW = 3/28
RRRRRRRW = 1/28

We have only 6 Red Balls & hence no last case.

cans wrote:A,J,K draw white ball in succession.
P(J draws)=p(RW) + p(rrrrw)= (6/8)*(2/7) + (6/8)(5/7)(4/6)(3/5)(2/4) = 3/14 + 3/28 = 9/28
IMO E
RW - Alice draws red, Jane draws white and game stops
rrrw, alice draws red, jane misses white and draws red, kate draws red, and den again alice draws red and this time jane draws white.

I am waiting to hear your quants score

smackmartine wrote:

cans wrote:A,J,K draw white ball in succession.
P(J draws)=p(RW) + p(rrrrw)= (6/8)*(2/7) + (6/8)(5/7)(4/6)(3/5)(2/4) = 3/14 + 3/28 = 9/28
IMO E
RW - Alice draws red, Jane draws white and game stops
rrrw, alice draws red, jane misses white and draws red, kate draws red, and den again alice draws red and this time jane draws white.

I am waiting to hear your quants score

Thanks smackmartine It feels so good to hear nice compliments like this

U r great in Quant Cans Thanx