Final answer:
To find the probability of having a male history teacher two years in a row, multiply the probabilities of each event happening.
Step-by-step explanation:
To find the probability that Vinay will have a male history teacher two years in a row, we need to consider the probabilities of each event happening. Let's assume that the probability of a male history teacher in the first year is P(MH1) and the probability of a male history teacher in the second year is P(MH2). Since the events are independent, we can multiply the probabilities. So, the probability of having a male history teacher two years in a row is P(MH1) * P(MH2).