please help in bayes theorem

please explain me baye's theorem for the problem

There are three boxes B1,B2,B3 Box B1 contains 2 gold coins,B2 contains 2 silver coins and B3 contains one gold and one silver coin.A box is chosen at random and then a coin is drawn from it.If the coin happens to be gold, what is the probability that the other coin in that box is also gold?

10 Answers

11
Subash ·

ans 2/3

3
msp ·

dats correct.

3
msp ·

but i want explanation for the theory part.

i cant understand by substituting the formula.
waiting for a serious help .............

1
Aditya ·

Its very simple!

See, we r given dat d coin is from B1
The probability of selecting B1 is 1/3
Probability that gold coin is frm b1 is 1, that it's frm b2 is 0 and it's from b3 is 1/2.

Now we can directly apply Baye's theorem:

P= (1/3*1)/1/3*1 + 1/3*1/2 + 1/3*0
=2/3

Hope u got it!!!
~~~CHEERS~~~

62
Lokesh Verma ·

sankara.. this comes from venn diagram

P(A/B) is the area fo A∩B divided by area of B!

I hope this hint helps enuf..

try to draw a venn diagram

11
Anirudh Narayanan ·

Sankara, you will perfect Bayes' Theorem only with more and more problems. Once you get used to it, you'll begin to enjoy it. [1]

This is my favourite topic in probability. Bhaiyyah, if you can, please post a few problems in it?

62
Lokesh Verma ·

okie.. dude i will post a couple on the "backlog" question of the days ;)

3
msp ·

nishant sir ur helpd a lot in understanding Bayes theorem and tx others for repling

1
pankaj sachan ·

can anybody suggest me a good book for probability..

3
msp ·

NCERT

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