Question

on a reality show, contestants had to spin two wheels of fate. spinning the first wheel determined the remote location where contestants would reside for the duration of the season. spinning the second wheel determined which \bonus survival tool\ they would be allowed to bring, along with a few other necessary items. what is the probability that a randomly selected participant spun the first wheel and landed on rainforest and spun the second wheel and landed on a tent? simplify any fractions.

Explanation:

Step1: Calculate the total number of outcomes

The total number of outcomes is \(1 + 5+2 + 4=12\).

Step2: Find the number of favorable outcomes

The number of favorable outcomes (rainforest and tent) is \(2\).

Step3: Calculate the probability

The probability \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}=\frac{2}{12}=\frac{1}{6}\).

Answer:

\(\frac{1}{6}\)