Probability of the sample space isa)0b)½c)1d)noneCorrect answer i...
Probability of the sample space is 1.
Explanation:
The sample space refers to the set of all possible outcomes of an experiment. In probability theory, the sample space is denoted by the symbol Ω.
To determine the probability of the sample space, we need to understand the concept of probability. Probability is a measure of the likelihood of an event occurring. It is a number between 0 and 1, where 0 represents impossibility and 1 represents certainty.
In this case, we are asked to find the probability of the sample space. The sample space consists of all possible outcomes, and therefore, it includes all possible events. Since it encompasses all possible events, the probability of the sample space is equal to the sum of the probabilities of all possible events.
To illustrate this concept, consider a simple experiment of flipping a fair coin. The sample space in this case consists of two possible outcomes: heads (H) or tails (T). The probability of getting heads is 1/2, and the probability of getting tails is also 1/2. Therefore, the sum of these probabilities is 1/2 + 1/2 = 1, which corresponds to the probability of the sample space.
In general, for any experiment, the sum of the probabilities of all possible outcomes in the sample space is always equal to 1. This is because the sample space encompasses all possible events, and the probabilities assigned to these events must account for all possibilities.
Therefore, the correct answer is option 'C' - 1.
Probability of the sample space isa)0b)½c)1d)noneCorrect answer i...
C