At the Rubber Duckie booth at the County Fair, contestants randomly pick two rubber ducks, one from each of two separate pools. Each pool contains five ducks, numbered 1 through 5. To win a prize, the numbers on both ducks must match. The table shows the possible outcomes. What is the theoretical probability that a contestant wins the Rubber Duckie game?

1 answer
Question:

At the Rubber Duckie booth at the County Fair, contestants randomly pick two rubber ducks, one from each of two separate pools. Each pool contains five ducks, numbered 1 through 5. To win a prize, the numbers on both ducks must match. The table shows the possible outcomes. What is the theoretical probability that a contestant wins the Rubber Duckie game?

Answers

1. There are 10 ducks in total, 5 in each pool. 2. For each pool, the probability of picking a certain numbered duck—for instance, #3—is 20%. 3. Because the pools are separate with, picking one duck from one pool does not affect the chance of picking a certain duck from the other pool. 4. Therefore, the probability that a contestant wins the game is 20%. Good luck!

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