Basic Probability

This is a discussion on Basic Probability within the The Foyer forums, part of the Off the Grid category; A fair coin is used. What’s the probability of:- A. Flipping Two Consecutive Heads B. Flipping Two Consecutive Tails C. ...

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Old Mar 27, 2009, 9:10am   #1
Joined Jul 2003
Basic Probability

A fair coin is used.

What’s the probability of:-

A. Flipping Two Consecutive Heads
B. Flipping Two Consecutive Tails
C. Flipping Two Consecutive Heads OR Flipping Two Consecutive Tails
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Old Mar 27, 2009, 9:39am   #2
 
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A) 0.5 x 0.5

B) 0.5 x 0.5

C)(0.5 x 0.5) + (0.5 x 0.5)
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Old Mar 27, 2009, 9:48am   #3
Joined Dec 2002
A) 25%
B) 25%
C) 50%

Last edited by PualoP; Mar 27, 2009 at 10:05am.
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Old Mar 27, 2009, 10:10am   #4
Joined Mar 2009
Quote:
Originally Posted by TheBramble View Post
A fair coin is used.

What’s the probability of:-

A. Flipping Two Consecutive Heads
B. Flipping Two Consecutive Tails
C. Flipping Two Consecutive Heads OR Flipping Two Consecutive Tails
Hi Tony

good to have you back on board fella.

As ADB says, it is a half chance multiplied by a half chance for either scenario. Which is, a quarter chance. And then 1/4 chance + 1/4 chance for the 2 consecutive heads OR tails option, if you are not fussy about whether you want a head or tail.

If you spend long enough at it, you will eventually get 10 heads or tails in a row, like that Derren Brown fella. But it took him about 14 hours of filming before he actually achieved this.
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Old Mar 27, 2009, 10:14am   #5
 
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Quote:
Originally Posted by TheBramble View Post
A fair coin is used.

What’s the probability of:-

A. Flipping Two Consecutive Heads
B. Flipping Two Consecutive Tails
C. Flipping Two Consecutive Heads OR Flipping Two Consecutive Tails
as per DB;

a: 25%
b: 25%
c: 50%
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Old Mar 27, 2009, 10:23am   #6
Joined Jul 2003
TheBramble started this thread OK. Right.

So the chance of my flipping a Head on any one toss of the coin is 50% or 1 in 2. Which means, I’d need to flip the coin twice to, statistically, expect to get a head. Is that correct?
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Old Mar 27, 2009, 10:30am   #7
Joined Nov 2004
Possible outcomes:

H H
H T
T H
T T

=> probability of at least one head is 0.75, because all outcomes are equally likely.
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