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Two students toss a fair coin.  Whenever it lands head up, the first student wins one dollar.  If not, the first student loses one dollar.  Find the probability that after five coin tosses, the first student's winnings is exactly one dollar.

 Dec 14, 2019
 #1
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The first student  will  win  exactly one dollar whenever any  3 tosses land on heads and any other 2  land on tails

 

So..we want to choose any 3 heads  from 5 results  = 5C3  = 10  ways to  do this

 

And  the number of possible outcomes  is  2^5  = 32

 

So....the probability  is    10   / 32    =   5 / 16

 

 

cool cool cool

 Dec 15, 2019

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