Mathematics written explanation question #2
Mathematics

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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.
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