A researcher's garden contains 90 sweet pea plants, which have either white or purple flowers. About 70 of the plants have purple flowers, and about 20 have white flowers. Would you expect that one plant randomly selected from the garden will have purple or white flowers? Explain.
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P(purple) = 70/90 = ?
i need the answer
To determine whether we would expect a randomly selected plant from the garden to have purple or white flowers, we need to calculate the probability.
Let's start by calculating the probability of selecting a plant with purple flowers. We know that there are 70 plants with purple flowers out of a total of 90 plants in the garden. Therefore, the probability can be calculated as:
Probability of selecting a plant with purple flowers = Number of plants with purple flowers / Total number of plants
= 70 / 90
= 7/9 ≈ 0.778
Similarly, we can calculate the probability of selecting a plant with white flowers. We know that there are 20 plants with white flowers out of a total of 90 plants in the garden. Therefore, the probability can be calculated as:
Probability of selecting a plant with white flowers = Number of plants with white flowers / Total number of plants
= 20 / 90
= 2/9 ≈ 0.222
Now, if we add up the probabilities of selecting a plant with purple or white flowers, we get:
0.778 + 0.222 = 1
Since the sum of probabilities equals 1, we can conclude that selecting a plant randomly from the garden guarantees that it will have either purple or white flowers.