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.
To find the experimental results for each test, we need to use the given probability that the outstanding student passes the biology test. We are told that the probability of the student passing a biology test is 60%.
Let's denote "P" as the probability of passing and "F" as the probability of failing. In this case, the probability of passing (P) is given as 60%, which can be written as 0.60, and the probability of failing (F) is the complement of passing, which is 1 - P.
Now, let's analyze each test independently:
Test 1: The probability of passing (P) is 0.60, and the probability of failing (F) is 1 - P = 1 - 0.60 = 0.40. So the experimental results for Test 1 would be either passing with a 60% chance or failing with a 40% chance.
Test 2: Since each test is independent, the probability of passing (P) remains the same for Test 2, which is 0.60. Similarly, the probability of failing (F) is again 1 - P = 1 - 0.60 = 0.40. So the experimental results for Test 2 would also be either passing with a 60% chance or failing with a 40% chance.
Test 3: Likewise, the probability of passing (P) for Test 3 is 0.60, and the probability of failing (F) is 1 - P = 1 - 0.60 = 0.40. So the experimental results for Test 3 would again be either passing with a 60% chance or failing with a 40% chance.
In summary, the experimental results for each test would be as follows:
- Test 1: Pass with a 60% chance or Fail with a 40% chance.
- Test 2: Pass with a 60% chance or Fail with a 40% chance.
- Test 3: Pass with a 60% chance or Fail with a 40% chance