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Ten coins are tossed simultaneously. In how many of the

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Raman Jit Kumar
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Ten coins are tossed simultaneously. In how many of the [#permalink] New post   20 Sep 2005, 23:30
00:00
A
B
C
D
E

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(N/A)

Question Stats:

0% (00:00) correct 100% (01:51) wrong based on 6 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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B
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jdtomatito
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Re: Ten coins are tossed simultaneously. In how many of the [#permalink] New post   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
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Re: Ten coins are tossed simultaneously. In how many of the [#permalink] New post   21 Sep 2005, 09:10
I came up with E too!
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Re: Ten coins are tossed simultaneously. In how many of the [#permalink] New post   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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Re: Ten coins are tossed simultaneously. In how many of the [#permalink] New post   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)
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Re: Ten coins are tossed simultaneously. In how many of the [#permalink] New post   23 Sep 2005, 11:02
I got 2^9 outcomes with heads in the third round. Whats the OA?


GA
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Re: Ten coins are tossed simultaneously. In how many of the [#permalink] New post   25 Oct 2007, 00:10
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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
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Re: Ten coins are tossed simultaneously. In how many of the [#permalink] New post   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.
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Re: Ten coins are tossed simultaneously. In how many of the [#permalink] New post   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
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tikpaklong
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Re: Ten coins are tossed simultaneously. In how many of the [#permalink] New post   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.
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Re: Ten coins are tossed simultaneously. In how many of the [#permalink] New post   25 Oct 2007, 10:00
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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.
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Re: Ten coins are tossed simultaneously. In how many of the [#permalink] New post   25 Oct 2007, 10:03
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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
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Re: Ten coins are tossed simultaneously. In how many of the [#permalink] New post   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] New post   22 Nov 2017, 01:26
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Re: Ten coins are tossed simultaneously. In how many of the [#permalink]
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