DSE 2011 question no. 33 and 34

[sunny2009]

suppose X and  Y r independent random variables that follow the uniform distribution on the interval [0,1]. let Z=min{X,Y}.

33. Probability that Z IS LESS than 0.5 equals
a. 0.25
b. 0.5
c. 0.625
d. 0.75

34.pr(z<0.5/x=0.75)
a. 0.25
b. 0.5
c. 0.625
d. undefined

[Mr. Nobody]

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[sunny2009]

@ram
thank u so much :):):)