The big clock

The big clock hands stopped at a random moment. What is the probability that:

a) a small hand showed the time between 1:00 and 3:00?
b) the big hand was in the same area as a small hand in the role of a)?
c) did the hours just show the time between 21:00 and 22:30?

Result

p1 =  25 %
p2 =  25 %
p3 =  12.5 %

Solution:

p1=100 312=25=25%p_{1}=100 \cdot \ \dfrac{ 3 }{ 12 }=25=25 \%
p2=100 312=25=25%p_{2}=100 \cdot \ \dfrac{ 3 }{ 12 }=25=25 \%
p3=100 22.5021.0012=252=12.5=12.5%p_{3}=100 \cdot \ \dfrac{ 22.50 - 21.00 }{ 12 }=\dfrac{ 25 }{ 2 }=12.5=12.5 \%



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