The probability of an outstanding student pass a biology test is 60%. If he takes three test,which are the experimental results for each test?
Please, help me to understand.
the experimental results are his pass/fail of the test.
My doubt is if I should consider the pass=.6 since the fist event or when it mentions that the probability is .6 and he takes three test, it's means that at the end of the third event is only when the pass=.6. In this second approach I should presume that in the fist 2 attempts, the student pass score is 100%. Which is the correct approach?
To determine the experimental results for each test, we can use the probability of the student passing the biology test, which is 60%.
First, let's assign a variable 'P' to represent passing the test and 'F' to represent failing the test.
The probability of passing the test is given as 60%, which can also be expressed as 0.6 in decimal form.
Since the student is taking three tests, we can use the concept of independent events. This means that the result of one test does not affect the result of the other tests. Therefore, we can calculate the probability of each test independently.
Test 1:
The probability of passing the first test is 0.6, so the probability of failing the first test would be 1 - 0.6 = 0.4.
Test 2:
Similarly, the probability of passing the second test is also 0.6, and the probability of failing the second test is 1 - 0.6 = 0.4.
Test 3:
Again, the probability of passing the third test is 0.6, and the probability of failing the third test is 1 - 0.6 = 0.4.
Therefore, the experimental results for each test can be represented as:
Test 1: P = 0.6 (Pass), F = 0.4 (Fail)
Test 2: P = 0.6 (Pass), F = 0.4 (Fail)
Test 3: P = 0.6 (Pass), F = 0.4 (Fail)
These probabilities represent the likelihood of the student passing or failing each individual test based on the given information that the probability of passing a biology test is 60%.