I am bad at probability questions. Please help me?

Let x and y be uniformly distributed, independent random variable [0,1]. The probability that the minimum between x and y is less than 1/4 is
a) 1/16
b) 7/16
c) 1/2
d) 5/16

1 Answer
Apr 26, 2018

"b) "7/16

Explanation:

"The opposite event is that the minimum is ">= 1/4
"It is more easy to calculate that event as we simply state"
"that x and y must both be ">= 1/4" then."
"And the odds for that are simply"

(3/4)^2 = 9/16

=> P["min "<= 1/4] = 1 - 9/16 = 7/16