Final answer:
The probability that a contestant will land on a tent given they landed on a mountain peak is 1, as there is only one option, and each contestant gets only one survival tool.
Step-by-step explanation:
The question asks to calculate the probability of a randomly selected participant landing on a tent, given that this participant has already landed on mountain peak on the first wheel in a reality show game. To find the conditional probability, we look at the limited sample space where the event of landing on the mountain peak has occurred. Since there is only one such option, and the contestant gets only one survival tool, the probability they get a tent, in this case, is 1 out of 1, or simply 1.
To simplify, we can see this conditional probability as P(Tent|Mountain Peak) = P(Tent and Mountain Peak) / P(Mountain Peak) = 1/1 = 1, which implies that if a contestant lands on the mountain peak, they will definitely get a tent as the survival tool.
Probabilities such as these can be rounded to four decimal places, but in this case, the probability is a whole number, so no rounding is needed. This type of problem involves understanding and applying the basics of probability theory, and it provides a good illustration of how conditional probabilities work.