Final answer:
To calculate the probability that it does not rain and there is no bike to use, multiply the probability of no rain (2/5) by the probability of not having a bike, assuming the two events are independent.
Step-by-step explanation:
The question is asking to calculate the probability that it does not rain and the student does not have a bike to use during a commute. To find this probability, we would need to multiply the probability of it not raining by the probability of not having a bike to use (assuming these events are independent). If the probability of rain on any leg of the commute is 3/5, then the probability of it not raining is 1 - 3/5 = 2/5.
However, the question does not provide the probability of not having a bike to use. Assuming this missing probability is given as 'b', the overall probability of both not raining and not having a bike would be calculated as (2/5) * b. Without the value of 'b', we cannot provide a numerical answer to this question. In general, if you're given or able to determine the probabilities of each event, you would use the formula P(A and B) = P(A) * P(B) if events A (not raining) and B (not having a bike) are independent. If you have access to a calculator or software, you can perform these multiplications to find the desired probability.