Quick probability question.

  • Thread starter Yura
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  • #1
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my brother needs to know this but i'm in exam block right now and can only think of the physics im studying this term. i cant remember how to figure this out anymore i just know i'll have to use nCr and nPr.
heres the question:
how do i find the probability of getting tossing 3 heads in a row out of 64 tosses?

thanks
 
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Answers and Replies

  • #2
EnumaElish
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Suppose you had one toss only. What is the prob. of a head?

Suppose two tosses. What is the prob. of 2 heads?

Suppose 3 tosses. What is the prob. of 3 heads?

Now, the hard one: in 4 tosses, what is the prob. of one head only? The prob. of 2 heads (regardless of their order)?

The really difficult ones: with 4 tosses, what is the prob. of 2 heads in a row? 3 heads in a row?
 
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  • #3
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1st find the desired sample space ie: how many ways are there to have 3 heads in a row out of 64 tosses? don't rush to nCr and nPr just now, think about the possibilities.
then find the total number of possibilities and use the definition a probability.
 
  • #4
EnumaElish
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To find the sample space you might start from just one toss, then 2 tosses, then 3, 4, ... etc. and make a list of all possible outcomes for each case.
 

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