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You've decided you want a plant for your room. At the gardening store, there are 4 different kinds of plants (tulip, fern, cactus, and ficus) and 4 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot). If you randomly pick the plant and the pot, what is the probability that you'll end up with a tulip in a plastic pot?

You've decided you want a plant for your room. At the gardening store, there are 44 different kinds of plants (tulip, fern, cactus, and ficus) and 44 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot).\newlineIf you randomly pick the plant and the pot, what is the probability that you'll end up with a tulip in a plastic pot?

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Full solution

Q. You've decided you want a plant for your room. At the gardening store, there are 44 different kinds of plants (tulip, fern, cactus, and ficus) and 44 different kinds of pots to hold the plants (clay pot, plastic pot, metal pot, and wood pot).\newlineIf you randomly pick the plant and the pot, what is the probability that you'll end up with a tulip in a plastic pot?
  1. Total Combinations Calculation: There are 44 kinds of plants and 44 kinds of pots, so total combinations are 44 plants times 44 pots.\newlineCalculation: 4×4=164 \times 4 = 16 total combinations.
  2. Tulip in Plastic Pot Calculation: Only one combination gives a tulip in a plastic pot.\newlineCalculation: 11 tulip in plastic pot out of 1616 total combinations.
  3. Probability Calculation: Probability is the number of favorable outcomes over the total number of outcomes.\newlineCalculation: P(tulip in plastic pot)=116P(\text{tulip in plastic pot}) = \frac{1}{16}.

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