probability doubt

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probability doubt

PBANSAL
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q1-A fair coin is tosses until the first Head appears. Let X be the number of tosses required. The value of the distribution at X=4 is

 

a)     ½

b)    1/16

c)     15/16

d)    7/16
.
       

Let X be a random uniform random variable between 0 and 5 and Y be uniform on the interval 1 to 3.

Let L = min(X,Y ) and U = max(X,Y ).find probability u is less than or equal to 2
.my ans is 2/5 but correct ans is 1/5. please help