Brain Teasers
Uneven Odds
Probability
Probability puzzles require you to weigh all the possibilities and pick the most likely outcome.Probability
If you randomly pick any 2 whole numbers, what is the probability that they have either an even sum or an even product?
Answer
100%Let's consider the 3 basic options:
Even Even
Even Odd (Odd Even is functionally the same with addition & multiplication)
Odd Odd
If you multiply any even number, the product is even (2*1=2, 2*2=4)
If you add any 2 odds, you get an even (1+1=2)
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Comments
P(Even Sum) = 1/2
P(Even Product)=3/4
P(Even Product)=3/4
P(Even Sum) = 1/2
P(Even Product)=3/4
P(Even Product or Even Sum) = P(Even Sum) + P(Even Product) - P(Even Product AND Even Sum)
P(Even Product or Even Sum) = 1/2 + 3/4 - 1/4 = 1
P(Even Product)=3/4
P(Even Product or Even Sum) = P(Even Sum) + P(Even Product) - P(Even Product AND Even Sum)
P(Even Product or Even Sum) = 1/2 + 3/4 - 1/4 = 1
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