Final answer:
The probability of sampling two females in a row depends on whether it is with replacement, where the events are independent, or without replacement, where the events are dependent due to the size of the pool being reduced after the first pick.
Step-by-step explanation:
The probability of sampling two females in a row from a room with 10 people depends on whether the sampling is with replacement or without replacement. In sampling with replacement, each selection is independent, meaning the first pick does not affect the probability of the second pick. Therefore, if the first female picked is returned to the room before the second pick, the probability of picking a female the first time and the probability of picking a female the second time would be the same and can simply be multiplied together to obtain the combined probability.
In sampling without replacement, the selections are dependant, as the first pick affects the probability of the second pick. If the first female picked is not returned to the room before the second pick, then the total number of people to choose from is reduced, as well as the number of females if a female was picked first. This makes the probability of picking a female on the second draw different from the first.