Question

You plant 45 seeds and 20 of them sprout. Use the experimental probability to determine how many will sprout if you plant 180 seeds.

a) 80
b) 60
c) 90
d) 40

Answer 1

Using the experimental probability of 20 sprouts out of 45 seeds, if you plant 180 seeds, you can expect approximately 80 seeds to sprout based on the same probability.

Step-by-step explanation:

To determine how many seeds will sprout if you plant 180 seeds using the experimental probability, we need to use the probability that was found from the initial experiment with 45 seeds, where 20 sprouted. This gives us an experimental probability of ´20/45´, or approximately 0.4444 (repeating). To apply this probability to 180 seeds, you simply multiply the total number of seeds you plan to plant by the probability of a seed sprouting: 180 seeds × 0.4444 (probability of sprouting) = 80 seeds. Therefore, you would expect that if you plant 180 seeds, about 80 seeds will sprout, which corresponds to option a.