louis is a technician at byte size repairs. he records information on what parts have failed when laptops…

louis is a technician at byte size repairs. he records information on what parts have failed when laptops come in to be fixed. here are the results of the failed parts from laptops that came in today: fan, battery, hard drive, fan, hard drive, keyboard, battery, fan, hard drive. based on the data, what is the probability that the next laptop will need to be repaired due to hard drive failure? write your answer as a fraction or whole number.

louis is a technician at byte size repairs. he records information on what parts have failed when laptops come in to be fixed. here are the results of the failed parts from laptops that came in today: fan, battery, hard drive, fan, hard drive, keyboard, battery, fan, hard drive. based on the data, what is the probability that the next laptop will need to be repaired due to hard drive failure? write your answer as a fraction or whole number.

Answer

Explanation:

Step1: Count total number of failures

There are 9 parts - fan, battery, hard drive, fan, hard drive, keyboard, battery, fan, hard drive. So the total number of failed - part records is $n = 9$.

Step2: Count number of hard - drive failures

The number of hard - drive failures is $m=3$.

Step3: Calculate probability

The probability $P$ of an event is given by the formula $P=\frac{m}{n}$. Substituting $m = 3$ and $n = 9$ into the formula, we get $P=\frac{3}{9}=\frac{1}{3}$.

Answer:

$\frac{1}{3}$