Final answer:
To find the probability that Teesha will not be picked as a guide, we can calculate the probability of her not being picked in a single draw and then multiply the probabilities for each draw.
Step-by-step explanation:
To find the probability that Teesha will not be picked as a guide, we need to first calculate the probability of her not being picked in a single draw. Since there are 39 students in total and 2 students are being picked, there are 39C2 possible pairs of students that can be picked. The number of pairs that do not include Teesha is 38C2, as Teesha cannot be paired with herself. Therefore, the probability of Teesha not being picked in a single draw is 38C2 / 39C2.
However, the question asks for the probability that Teesha will not be picked in multiple draws. Since each draw is independent, we can multiply the probabilities of Teesha not being picked in each draw. Since there are 2 draws in total, the probability is (38C2 / 39C2) * (38C2 / 39C2).