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# Ten coins are tossed simultaneously. In how many of the

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Intern
Joined: 18 Sep 2005
Posts: 7
Location: Delhi
Ten coins are tossed simultaneously. In how many of the  [#permalink]

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20 Sep 2005, 23:30
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33% (00:00) correct 67% (01:06) wrong based on 15 sessions

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Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?

A. 210
B. 29
C. 3*28
D. 3*29
E. None of these

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Manager
Joined: 03 Aug 2005
Posts: 131
Re: Ten coins are tossed simultaneously. In how many of the  [#permalink]

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21 Sep 2005, 04:14
I thinnk it is E, 2^9 would be the answer as we have nine coins with two possible outcomes each
Manager
Joined: 16 Sep 2005
Posts: 60
Re: Ten coins are tossed simultaneously. In how many of the  [#permalink]

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21 Sep 2005, 09:10
I came up with E too!
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Senior Manager
Joined: 29 Nov 2004
Posts: 447
Location: Chicago
Re: Ten coins are tossed simultaneously. In how many of the  [#permalink]

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21 Sep 2005, 09:26
I get 2^8,

2^9 possible outcomes for other coins and half of that for the third coin being head and half for it being tail...
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VP
Joined: 22 Aug 2005
Posts: 1082
Location: CA
Re: Ten coins are tossed simultaneously. In how many of the  [#permalink]

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21 Sep 2005, 09:28
ranga41 wrote:
I get 2^8,

2^9 possible outcomes for other coins and half of that for the third coin being head and half for it being tail...

Could you explain pls.
I thought 2^9 outsomes from other coins will be for their coin being head AND another 2^9 outcomes from other coins for it to be tail (total outcomes 2^10)
Senior Manager
Joined: 13 Jan 2005
Posts: 305
Re: Ten coins are tossed simultaneously. In how many of the  [#permalink]

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23 Sep 2005, 11:02
I got 2^9 outcomes with heads in the third round. Whats the OA?

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Intern
Joined: 14 Feb 2007
Posts: 24
Re: Ten coins are tossed simultaneously. In how many of the  [#permalink]

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25 Oct 2007, 00:10
1
Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?

A. 2^10
B. 2^9
C. 3*2^8
D. 3*2^9
E. None of these
SVP
Joined: 29 Aug 2007
Posts: 2395
Re: Ten coins are tossed simultaneously. In how many of the  [#permalink]

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25 Oct 2007, 00:41
tikpaklong wrote:
Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?

A. 210
B. 29
C. 3*28
D. 3*29
E. None of these

i think the answers should be the followings:

A. 2^10
B. 2^9
C. 3*2^8
D. 3*2^9
E. None of these

I take 2^9.
Senior Manager
Joined: 11 Sep 2005
Posts: 289
Re: Ten coins are tossed simultaneously. In how many of the  [#permalink]

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25 Oct 2007, 02:55
tikpaklong wrote:
Ten coins are tossed simultaneously. In how many of the outcomes will the third coin turn up a head?

A. 210
B. 29
C. 3*28
D. 3*29
E. None of these

My answer: 2^9.............i suppose it's B
Intern
Joined: 14 Feb 2007
Posts: 24
Re: Ten coins are tossed simultaneously. In how many of the  [#permalink]

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25 Oct 2007, 09:31
sorry about the answer choices...yes the official answer is 2^9. Can you guys explain? I'd appreciate it. Thanks.
Director
Joined: 20 Aug 2007
Posts: 850
Location: Chicago
Schools: Chicago Booth 2011
Re: Ten coins are tossed simultaneously. In how many of the  [#permalink]

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25 Oct 2007, 10:00
1
Total possible outcomes is 2^10

In half the outcomes, the third coin will be tails (in the other half it will be heads).

(2^10)/2 = 2^9

This is also the number of outcomes where the third coin will come up heads.
SVP
Joined: 24 Aug 2006
Posts: 2091
Re: Ten coins are tossed simultaneously. In how many of the  [#permalink]

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25 Oct 2007, 10:03
1
tikpaklong wrote:
sorry about the answer choices...yes the official answer is 2^9. Can you guys explain? I'd appreciate it. Thanks.

Basically, the question asks how many different outcomes are there if you toss up 10 coins. The answer to that is 2^10

But since the third coin is heads, we divide the total number of combinations by 2, thus (2^10)/2 = 2^9

OR

How many different outcomes can there be for the 9 remaining coins if the third one is heads? 2^9
Manager
Joined: 24 Jul 2007
Posts: 77
Re: Ten coins are tossed simultaneously. In how many of the  [#permalink]

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28 Oct 2007, 22:14
kidderek wrote:
tikpaklong wrote:
sorry about the answer choices...yes the official answer is 2^9. Can you guys explain? I'd appreciate it. Thanks.

Basically, the question asks how many different outcomes are there if you toss up 10 coins. The answer to that is 2^10

But since the third coin is heads, we divide the total number of combinations by 2, thus (2^10)/2 = 2^9

OR

How many different outcomes can there be for the 9 remaining coins if the third one is heads? 2^9

Great explanation, I am not new to the forum, but I have not been paticipating in the math section...so I am not familiar with the symbals...

Question: 2^9, does this mean 2 to the 9th power??? I am assuming it is...
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Re: Ten coins are tossed simultaneously. In how many of the  [#permalink]

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22 Nov 2017, 01:26
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Re: Ten coins are tossed simultaneously. In how many of the &nbs [#permalink] 22 Nov 2017, 01:26
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