Question

1. augustin is in line to choose a new locker at school. the locker coordinator has each student reach into a bin and pull out a locker number. there is one locker at the school that all the kids dread! this locker, #831, is supposed to be haunted, and anyone who has used it has had strange things happen to him or her! when it is augustin’s turn to reach into the bin and select a locker number, he is very nervous. he knows that there are 535 lockers left and locker #831 is one of them. what is the probability that augustin reaches in and pulls out the dreaded locker #831? should he be worried? explain.

Explanation:

Step1: Recall probability formula

The probability $P$ of an event is given by $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Identify favorable and total outcomes

The favorable outcome (pulling out locker #831) is 1. The total number of lockers left is 535. So, $P=\frac{1}{535}$.

Step3: Analyze worry - worthiness

The probability $\frac{1}{535}\approx0.00187$ is a very low probability. So he probably shouldn't be too worried.

Answer:

The probability that Augustin pulls out locker #831 is $\frac{1}{535}$. He probably shouldn't be too worried since the probability is very low.