Question

certified not certified row total
has had an accident 2 6 8
has never had an accident 138 54 192
column total 140 60 200
at a popular rock - climbing site in yosemite national park, a randomly
selected sample of 200 climbers are asked whether they have ever had a
climbing accident and whether they are certified climbers. the results are
shown in the table. if an uncertified climber is chosen at random, what is
the probability that the climber has had an accident?

Explanation:

Step1: Determine the number of uncertified climbers

The number of uncertified climbers is the column - total for "Not certified", which is \(60\).

Step2: Determine the number of uncertified climbers who had an accident

The number of uncertified climbers who had an accident is \(6\).

Step3: Calculate the probability

The probability \(P\) is given by the formula \(P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\). Here, the number of favorable outcomes (uncertified climbers who had an accident) is \(6\), and the total number of outcomes (total uncertified climbers) is \(60\). So \(P = \frac{6}{60}\).
Simplify \(\frac{6}{60}=\frac{6\div6}{60\div6}=\frac{1}{10}=0.1\)

Answer:

\(0.1\)