Theoretical probability.
Classical Probability!
Probability is a numerical value defined for a set of outcomes. It is non-negative and such that the sum or integral over all possible outcomes is 1.
To determine the probability that a randomly thrown dart hits a blue or yellow region on a square board, you need to know the areas of the blue and yellow regions in relation to the total area of the square board. The probability can be calculated by dividing the combined area of the blue and yellow regions by the total area of the board. If the areas are not specified, you cannot provide a numerical probability. Therefore, the probability is given by the formula: P(blue or yellow) = (Area of blue + Area of yellow) / (Area of the square board).
Probability is the likelihood, expressed in numerical or ratiometric terms, that an event will occur. A probability of 1 means that the event will occur. A probability of 0 means that the event will not occur. A probability of 0.5 means that the likelihood of the event occurring is equal to the likelihood of it not occurring. For instance, a fair coin has a 0.5 probability of being heads, and a 0.5 probability of being tails. Defined formally, probability is the number of permutations of the desired outcome divided by the number of permutations of all possible outcomes. Take a standard six-sided die, for instance. There are six permutations. One of them is a 1, so the probability of rolling a 1 is 1 in 6, or about 0.1667. Probability is not assured. If you roll a die 600 times, you will not necessarily get 100 1's. Over the long run, you will approach that outcome, but each trial will have different results. This is the difference between theoretical probability and experimental probability - theoretical being the mathematical estimate - experimental being the observed results.
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Classical Probability!
Discrete probability. It helps if the all the outcomes in the sample space are equally probable but that is not a necessity.
Probability is a numerical measure. Occasionally, though, it is expressed in words such as very likely or not at all likely. But these phrases are (or should be) based on the fact that probability itself is a number.
"Probability" is not something that occurs in the future. It's the numerical likelihood of something happening in the future. You don't predict the probability. You calculate it.
Mendel predicted a 3:1 ratio for producing a tall plant from a genetic cross of two hybrid tall plants. This means that there is a 75% probability of producing a tall plant and a 25% probability of producing a short plant.
Probability is a numerical value and there must bea number, not just include one.
1/2
The probability of tossing a 4 is 1 out of 6 sides, or 1/6. Hope this helps!
There are three main methods for assigning probabilities Following the classical definition of probability Using relative frequencies Using subjective probability
Probability is a numerical value defined for a set of outcomes. It is non-negative and such that the sum or integral over all possible outcomes is 1.
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