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Mathematics 17 Online
OpenStudy (anonymous):

From a batch of 20 bricks of which 8 are defective, exactly 2 bricks are chosen, one at a time without replacement. What is the probability that the second brick chosen is defective?

OpenStudy (gorv):

okk total =20 good =12 defective equal =8 so choice first defective * second defective +first good * second defective

OpenStudy (gorv):

for choosing from defective 8 C 1

OpenStudy (gorv):

can try it now ??

OpenStudy (anonymous):

i think it's 8/19

OpenStudy (anonymous):

but, book says it's wrong

OpenStudy (anonymous):

correct answet \[\frac{ 2 }{ 5 } + 0.001\]

OpenStudy (gorv):

look there are two choice 1) first defective * second defective 2)first good * second defective cal probab for first and than for second and add them up

OpenStudy (anonymous):

first defective is 8/20 second defective 7/19 right?

OpenStudy (gorv):

yeah now multiply it

OpenStudy (anonymous):

first good 12/20 second defective 9/19?

OpenStudy (gorv):

that will be ans of first choice

OpenStudy (gorv):

there are only 8 defective

OpenStudy (anonymous):

yes, thats mistypo

OpenStudy (gorv):

can u do it now

OpenStudy (gorv):

(12/20)*(8/19) +(8/20)*(7/19)

OpenStudy (anonymous):

yes, but i really didn't understand how we got that

OpenStudy (gorv):

look we have to choose two bricks

OpenStudy (gorv):

second must be defective

OpenStudy (gorv):

so two choices for first brick

OpenStudy (gorv):

either it is good or it defective if it is good then second is defective if first is defective than second is defective

OpenStudy (gorv):

now ??

OpenStudy (anonymous):

ohh now i get it, but why book says it's 2/5+0.001 when it is 2/5-0.001?

OpenStudy (gorv):

calculate properly what we calculated upto that it is correct mistake can be in our addition or book print :P

OpenStudy (anonymous):

ok, thank you very much :D

OpenStudy (gorv):

wlcme :)

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