Probability
Probability is a branch of mathematics that deals with the measurement and assessment of uncertainty
Probability is a branch of mathematics that deals with the measurement and assessment of uncertainty. It quantifies the likelihood or chance of an event occurring. In simple terms, it tells us how likely it is for a particular outcome to happen.
The probability of an event E occurring is denoted by P(E) and ranges from 0 to 1. A probability of 0 means that the event will not happen, while a probability of 1 means that the event is certain to happen.
To calculate the probability of an event, we need to consider the total number of possible outcomes and the number of favorable outcomes. The probability is then expressed as the ratio of favorable outcomes to total outcomes.
P(E) = Number of favorable outcomes / Number of total outcomes
For example, let’s consider rolling a fair six-sided die. The probability of rolling a 3 can be calculated as:
P(rolling a 3) = 1 favorable outcome (getting a 3) / 6 total outcomes (numbers 1 to 6) = 1/6 ≈ 0.167
It is important to note that probabilities are always expressed as values between 0 and 1, with 0 representing impossibility and 1 representing certainty. The closer the probability is to 1, the more likely the event is to occur.
Probabilities can also be expressed as fractions, decimals, or percentages, depending on the context.
In summary, probability is a mathematical concept used to measure the likelihood of an event occurring. It helps us make informed decisions and understand the degree of uncertainty involved in various situations.
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