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MathNet 2006 — Part 02 Question 143

Math Olympiad Vault · MathNet 2006 — Part 02

Question 143

There are $1002$ banana candies and $1002$ apple candies in one box. Lara takes two candies from the box without looking at the flavor. If $q$ is the probability of the two candies being of different flavors and $p$ is the probability of the two candies being of the same flavor, what is the value of $q-p$?


A) $0$

B) $1/2004$

C) $1/2003$

D) $2/2003$

E) $1/1001$