To simulate the probability of a seed sprouting, we can use a number cube with 6 sides numbered from 1 to 6. We can assign the numbers 1 through 5 to represent a seed not sprouting, and the number 6 to represent a seed sprouting. Therefore, the probability of a seed sprouting is 1/6.
To estimate the probability that none of a row of 10 seeds will sprout, we can roll the number cube 10 times to simulate the 10 seeds. If we roll a number from 1 to 5, it represents a seed that did not sprout. If we roll a 6, it represents a seed that sprouted.
To find the probability that none of the seeds will sprout, we need to find the probability of rolling a number from 1 to 5 for all 10 rolls. The probability of rolling a number from 1 to 5 on a single roll is 5/6. The probability of rolling a number from 1 to 5 on all 10 rolls is:
(5/6)^10 ≈ 0.1615
Therefore, the estimated probability that none of the seeds will sprout is approximately 0.1615 or about 16.15%.
