Ben rolls a standard number cube (sides labeled with numbers 1 through 6). Find the probability that Ben rolls a number greater than 2 or an even number.

Answer 1

Events(x>2)={3,4,5,6}
Events(even)={2,4,6}
So

B=Events(x>2)∪Events(even)
={3,4,5,6}∪{2,4,6}
={2,3,4,5,6}
|B|=cardinality of B = 5
Therefore the probability is 5/6