1800-150-456-789
FlagBACK
Flag Magical Mathematics[Interesting Approach]> i HAVE ATTACHED THE PROBLEM STATEMENT IMA...
question mark

i HAVE ATTACHED THE PROBLEM STATEMENT IMAGE .CAN ANYONE SOLVE THIS PROBLEM WITH LOGIC AND NOT USING BAYES THEOREM.

Praveen Kumar Das , 5 Years ago
Grade 12th pass
anser 2 Answers
Arun

Last Activity: 5 Years ago

Let E1 E2 E3 be events such that

 

E1 represents the selection of Box I

 

E2 represents Selection of Box II

 

And E3 represents the Selection of Box III

 

Let A denotes the event such that the coin drawn is of gold.

 

∵ there are 3 boxes-

 

∴ P(E1) = P(E2) = P(E3) = 1/3

 

Since, all boxes contains two coins.

 

And box I have both the coins gold.

 

Box II has only silver coins, and box III has one gold and one silver coin.

 

∴ P(A|E1) = P(drawing gold coin from box I) = 2/2 = 1

 

Similarly, P(A|E2) = 0

 

And P(A|E3) = 1/2

 

We need to find the probability of the event such that another coin in the box is also gold and this is only possible if the coin is drawn from the box I

 

i.e. we need to find P(E1|A).

 

From Baye’s theorem–

 

⇒ P(E1|A) =

 

∴ The probability that the other coin in the box is also of gold = 2/3

Vikas TU

Last Activity: 5 Years ago

Dear student 
Let E1 , E2 nd E3 be the events that boxex I II and III are chosen respectively 
∵ there are 3 boxes-
 
∴ P(E1) = P(E2) = P(E3) = 1/3
 
Since, all boxes contains two coins.
 
And box I have both the coins gold.
 
Box II has only silver coins, and box III has one gold and one silver coin.
 
∴ P(A|E1) = P(drawing gold coin from box I) = 2/2 = 1
 
Similarly, P(A|E2) = 0
 
And P(A|E3) = 1/2
 
We need to find the probability of the event such that another coin in the box is also gold and this is only possible if the coin is drawn from the box I
 
i.e. we need to find P(E1|A).
 
From Baye’s theorem–
 
⇒ P(E1|A) =[P(E1)P(A/E1)] / [P(E1) P(A/E1) + P(E2)P(A/E2)+ P(E3)P(A/E3)]
[This part was missing in above ans]
 
∴ The probability that the other coin in the box is also of gold = 2/3

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on magical mathematics[interesting approach]

question mark
Given that (1+5x)⁴ = 1 + Px + Qx² + Rx³ +..... Find the values of P - 2Q + 3R
magical mathematics[interesting approach]
1 Answer Available

Last Activity: 2 Years ago

question mark
9 men and 15 boys working 10 hours a day can make 12 pillars in 42 days, in how many days will 12 men and 22 boys working 8 hours a day can make pillars 4 times the previous number?
magical mathematics[interesting approach]
1 Answer Available

Last Activity: 2 Years ago

question mark
In the given figure, PQ is a tangent at a point C to a circle with centre O. If AB is a diameter, find angle PCA + angle BCQ?
magical mathematics[interesting approach]
0 Answer Available

Last Activity: 2 Years ago

question mark
for any two sets A and B (A-B)U(B-A)U (A intersection B)
magical mathematics[interesting approach]
0 Answer Available

Last Activity: 2 Years ago

question mark
If someone has got 150 out of 200 marks in term 1 exam and 160 out of 200 marks in term 2 exam then what is the percentage in30:70
magical mathematics[interesting approach]
0 Answer Available

Last Activity: 3 Years ago