Final answer:
The false statement is c) A probability can be a number greater than 1. Probabilities range from 0 to 1 and the sum of probabilities of all possible outcomes must equal 1.
Step-by-step explanation:
The false statement in the question provided is: c) A probability can be a number greater than 1. This statement is false because according to the fundamental rules of probability, the probability of an event ranges from 0 to 1, inclusive. This means that the lowest probability an event can have is 0 (impossible event) and the highest probability is 1 (certain event).
A phenomenon is indeed random if individual outcomes are uncertain, making statement a) true. The probability of any outcome must be a number between 0 and 1, as mentioned above, confirming that statement b) is true. Finally, all possible outcomes together must have probabilities that add up to 1, which is a basic principle of probability known as the axiom of unity, making statement d) true.