##### Mathematics written explanation question #2

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Apr 8th, 2015

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Apr 8th, 2015

1.The number of outcomes is 2^4 = 16
Here is a listing:
(H,H,H,H)
(H,H,H,T)
(H,H,T,H)
(H,H,T,T)
(H,T,H,H)
(H,T,H,T)
(H,T,T,H)
(H,T,T,T)
(T,H,H,H)
(T,H,H,T)
(T,H,T,H)
(T,H,T,T)
(T,T,H,H)
(T,T,H,T)
(T,T,T,H)
(T,T,T,T)

2. The number of outcomes is 2^4 = 16
Here is a listing:

(F,F,F,F)
(F,F,F,T)
(F,F,T,F)
(F,F,T,T)
(F,T,F,F)
(F,T,F,T)
(F,T,T,F)
(F,T,T,T)
(T,F,F,F)
(T,F,F,T)
(T,F,T,F)
(T,F,T,T)
(T,T,F,F)
(T,T,F,T)
(T,T,T,F)
(T,T,T,T)

3. Probability of getting atleast 1 head = Probability of not getting all tails
= 1 - Probability of getting tails ( Possible value for all tails is (T,T,T,T)
= 1 -1/16
= 15/16

So % of getting at least 1 head = (15/16) * 100

= 93.75%

Note:  Probability of getting all heads is 1/16

so % of getting all heads is 1/16*100 = 6.25%

4. Probability of getting at least 1 right answer = % of not getting all wrong answers
= 1 - % of getting getting all wrong answers
= 1 -1/16 ( Possible value for all wrong answers is (F,F,F,F) )
= 15/16

So % of getting at least 1 right answer  = (15/16) * 100

= 93.75%

Note:  Probability of getting all right answers is 1/16

so % of getting all all right answers is 1/16*100 = 6.25%

Please let me know if you have any questions and best me if you are satisfactory.

Apr 8th, 2015

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Apr 8th, 2015
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Apr 8th, 2015
Oct 23rd, 2017
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