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Aptitude - Probability - Discussion

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"Loneliness is the most terrible poverty."
- Mother Teresa
5. 

Three unbiased coins are tossed. What is the probability of getting at most two heads?

[A].
3
4
[B].
1
4
[C].
3
8
[D].
7
8

Answer: Option D

Explanation:

Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH}

Let E = event of getting at most two heads.

Then E = {TTT, TTH, THT, HTT, THH, HTH, HHT}.

P(E) = n(E) = 7 .
n(S) 8


Sundar said: (Fri, Aug 20, 2010 01:01:14 AM)    
 
Hi Guys,

At most two heads means "Total number of HEADs can be 0 - 2".

So we cannot include HHH, because it contains 3 heads.

But we can include TTT, because ZERO head is accepted.

Therefore, the given answers is perfectively correct.

You may ask your doubts here if you have regarding this question?

Have a nice day!

Malarvizhi said: (Sun, Oct 31, 2010 05:14:16 AM)    
 
How did say n(s) is 8.

Sundar said: (Sat, Nov 20, 2010 08:41:01 AM)    
 
@Malarvizhi


Note: "At most two heads" --(means)--> Not more than two heads.

Here S = {TTT, TTH, THT, HTT, THH, HTH, HHT, HHH} <--- (8 combinations)

Therefore, n(S) = 8.

Abhijit said: (Fri, Dec 3, 2010 04:24:32 AM)    
 
total no of probabilities= 2^3 =8
for 2/1/0 heads probability is =7(only 1 left HHH)

Dharini said: (Sun, Dec 19, 2010 12:26:40 PM)    
 
I cant follow what abhijit said why it is 2 power 3?

Murugesh said: (Sat, Jan 1, 2011 11:05:09 AM)    
 
@dharini...
2---> H & T
3---> total no of coins.
so 2^3.

Dinesh said: (Tue, Jan 4, 2011 08:07:40 AM)    
 
Got it murugesh
thanks..

Sathya said: (Thu, Mar 24, 2011 07:18:45 AM)    
 
WHAT IS UNBIASED COINS

Sathish said: (Sat, Apr 30, 2011 07:04:48 AM)    
 
Thank u sundar

Sara said: (Mon, May 23, 2011 09:21:00 AM)    
 
Won't it be 3 out of 8?

Puttz said: (Thu, Jun 9, 2011 02:58:23 PM)    
 
Unbiased coins means a coin having head and tail whereas a biased coin means having two heads or two tails respectively.

Durgaprasad said: (Tue, Aug 9, 2011 11:18:56 AM)    
 
Thanks sundar. Superb explanation.

Kruvy said: (Wed, Sep 28, 2011 03:31:09 PM)    
 
@Sundar , I like the way you explained. thanks mate.

Swetha said: (Sat, Nov 5, 2011 11:39:27 AM)    
 
Very clear explanation sundar..Thank you!

Uday said: (Sat, Nov 12, 2011 10:15:27 PM)    
 
How we can do with this ^ symbol ?

Arpan said: (Sat, Dec 3, 2011 12:47:36 AM)    
 
Abhijeet that's not the way to do this prob. You got it totally wrong. But your answer is matching. Have a look at Sundar's answer.

Saurabh Patel said: (Fri, Feb 10, 2012 08:34:40 PM)    
 
If the leatter of the word LUCKNOW are randomly arrenged, find the proabibility of always having the word NOW.

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