At the Rubber Duckie booth at the County Fair, contestants randomly pick two rubber ducks, one from each of two separate pools. Each pool co

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?

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Yến Oanh 2 weeks 2021-09-05T16:19:27+00:00 1 Answers 0 views 0

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    2021-09-05T16:20:36+00:00

    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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