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Ever flipped two coins and wondered if you’d get two tails? We’ve got the probability explained for you!
What is the probability of getting two tails when two coins are tossed?
The probability of getting two tails when two coins are tossed is 1/4.
Here’s why:
- When two coins are tossed, there are a total of 2 possible outcomes for each coin (heads or tails), which means there are 2 * 2 = 4 total possible outcomes for the two coins combined.
- These outcomes are: HH, HT, TH, and TT.
- Only one of these outcomes, TT, has both coins landing on tails.
Therefore, the probability of getting two tails is the number of favorable outcomes (1) divided by the total number of outcomes (4), which is 1/4.
What is Probability Theory?
Probability theory is a branch of mathematics concerned with quantifying uncertainty. It provides a framework for understanding and analyzing random phenomena, allowing us to make predictions and decisions in situations where outcomes are uncertain.
At its core, probability theory deals with the study of random events and the likelihood of their occurrence. It involves concepts such as random variables, probability distributions, events, and outcomes. By assigning numerical measures called probabilities to different outcomes, probability theory allows us to describe and analyze the uncertainty associated with various situations.
Key concepts in probability theory include:
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Sample space: The set of all possible outcomes of a random experiment.
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Event: A subset of the sample space, consisting of one or more outcomes.
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Probability: A numerical measure of the likelihood of an event occurring, typically expressed as a number between 0 and 1, where 0 indicates impossibility and 1 indicates certainty.
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Probability distribution: A mathematical function that describes the probabilities of all possible outcomes of a random variable.
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Random variable: A variable that can take on different values according to the outcomes of a random experiment.
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Conditional probability: The probability of an event occurring given that another event has already occurred.
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Independence: Two events are said to be independent if the occurrence of one event does not affect the occurrence of the other.
Probability theory finds applications in various fields such as statistics, economics, physics, engineering, and computer science. It serves as the foundation for making informed decisions in the presence of uncertainty and is essential for understanding and modeling complex systems in both natural and man-made environments.
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Source: Math Hello Kitty
Categories: Math
