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.
I need a bit of help on this one please.
Think about it. How many white flowers? How many purple flowers?
Is this a good anwer
I would expect it to be purple because the odds of getting purple are 7:2.
Great answer!
To determine whether we would expect a randomly selected plant from the garden to have purple or white flowers, let's first calculate the probabilities.
In the researcher's garden, there are 70 sweet pea plants with purple flowers and 20 sweet pea plants with white flowers. The total number of sweet pea plants in the garden is 90.
To calculate the probability of selecting a plant with purple or white flowers, we divide the number of plants with purple or white flowers by the total number of plants in the garden.
Probability of selecting a plant with purple flowers:
= Number of plants with purple flowers / Total number of plants
= 70 / 90
= 7 / 9
Probability of selecting a plant with white flowers:
= Number of plants with white flowers / Total number of plants
= 20 / 90
= 2 / 9
Therefore, we would expect that if one plant is randomly selected from the garden, there is a 7/9 probability that it will have purple flowers, and a 2/9 probability that it will have white flowers.