Final answer:
The probability of it snowing on 3 consecutive days in Chicago, given a daily 30% chance, is found by multiplying the probabilities for each day. This calculation gives us a probability of 0.027, or 2.7%, which is option a in the multiple-choice answer.
Step-by-step explanation:
The question pertains to the probability of a certain weather event happening in Chicago over a specified period. Specifically, it asks about the probability that it will snow on 3 consecutive days if there is a 30% chance that it will snow on any given day from January to March.
To calculate this probability, we need to consider each day as an independent event. The probability of snowing on three consecutive days would be the product of the probability of it snowing on each of those days. Mathematically, this is represented as:
Probability of snow on 3 consecutive days = (Probability of snow on day 1) × (Probability of snow on day 2) × (Probability of snow on day 3)
Since the probability of snow on any given day is 30%, or 0.3, we calculate the following:
0.3 × 0.3 × 0.3 = 0.027
This result means that there is a 2.7% chance of snow on three consecutive days, which corresponds to option a. Therefore, the correct option in the final answer is a. 0.027 (2.7%).