In a purse there are 30 coins, twenty one-rupee and remaining 50-paise coins. Eleven coins are picked simultaneously at random and are placed in a box. If a coin is now picked from the box, find the probability of it being a rupee coin?
Option 1 : 4/7 Option 2 : 1/2 Option 3 : 2/3 Option 4 : 5/6
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OpenStudy (mimi_x3):
hmm 21 rupee or 20 one-rupee?
ganeshie8 (ganeshie8):
`one-rupee` = `100-paise`
OpenStudy (shaik0124):
20 one rupee
ganeshie8 (ganeshie8):
this looks like committees and subcommittees problem hmm
OpenStudy (shaik0124):
probability of picking 11 coins from 30 is |dw:1423622474982:dw|
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OpenStudy (shaik0124):
probability of picking one coin from 11 coins is |dw:1423622680889:dw|
OpenStudy (mimi_x3):
11C1
Is a formula to determine the many ways you can choose 1 out of 11 coins which would be 11 ...its abt combinations
So I dont think its fair to say that 11C1 is the probability of choosing 1 coin from 11
OpenStudy (mimi_x3):
Im not sure how to approach this problem though
I bet @ganeshie8 has got smth up his sleeve
ganeshie8 (ganeshie8):
no this looks hard !
lets try @dan815
OpenStudy (mimi_x3):
@Kainui ...........
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OpenStudy (mimi_x3):
dan 20/30
OpenStudy (dan815):
oh sry
OpenStudy (dan815):
no that doesnt work there isnt a 20/30 chance on each picking so
OpenStudy (shaik0124):
answer is 2/3
OpenStudy (mimi_x3):
-,-
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OpenStudy (dan815):
ok makes sense
OpenStudy (shaik0124):
but i donno how to solve
OpenStudy (dan815):
when u pick 11 coins, there is 2/3 chance that in the box u have 1 : 0.5 rupee ratio