Question

a class quiz has 5 true/false questions. the correct answers are t, t, f, f, and t, in that order. john answered the questions randomly and is now wondering if he will pass the quiz. he needs to have at least 3 correct answers. john used a calculator to generate random numbers from 1 to 100. he let odd numbers stand for true and even numbers stand for false. he recorded the results in the table. what is the experimental probability that john passed the quiz?

	trial 1	trial 2	trial 3	trial 4	trial 5	trial 6	trial 7	trial 8
result	fail	pass	fail	pass	fail	pass	fail	pass

experimental probability =

Explanation:

Step1: Identify total number of trials

There are 8 trials in total.

Step2: Count number of passing - trials

The number of trials where John passed is 4 (Trial 2, Trial 4, Trial 6, Trial 8).

Step3: Calculate experimental probability

The formula for experimental probability is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. Here, the number of favorable outcomes (passing trials) is 4 and the total number of outcomes (total trials) is 8. So, $P = \frac{4}{8}=\frac{1}{2}$.

Answer:

$\frac{1}{2}$