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bar graph pie chart normal probability distribution scatter diagram with estimated regression equation A pie chart for the marital status of 100 individuals.
For Students
statistics summary
Quizzes
Equations written on blackboard
Numbers and Mathematics
Italian-born physicist Dr. Enrico Fermi draws a diagram at a blackboard with mathematical equations. circa 1950.
Define It: Math Terms
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Galaxy clusters like Abell 2744 can act as a natural cosmic lens, magnifying light from more distant, background objects through gravity. NASA's James Webb Space Telescope may be able to detect light from the first stars in the universe if they are gravitationally lensed by such clusters. (astronomy, space exploration, galaxies)
How Fast Is the Universe Expanding?
Discover
Julius Caesar in full Gaius Julius Caesar (100? BCE-44 BCE) statue in Rimini, Italy. Roman general and statesman and dictator
The Time Julius Caesar Was Captured by Pirates
Artist interpretation of a Space meteoroid impact. Meteor impact. Asteroid, End of the world, danger, destruction, dinosaur extinct, Judgement Day, Planet Earth, Doomsday Predictions, comet
10 Failed Doomsday Predictions
African Americans demonstrating for voting rights in front of the White House as police and others watch, March 12, 1965. One sign reads, "We demand the right to vote everywhere." Voting Rights Act, civil rights.
Timeline of the American Civil Rights Movement
Periodical Cicada, Adult, Magicicada spp. Requires 17 years to complete development. Nymph splits its skin, and transforms into an adult. Feeds on sap of tree roots. Northern Illinois Brood. This brood is the largest emergence of cicadas anywhere
Why Do Some Cicadas Appear Only Every 17 Years?
Aphrodite. Greek mythology. Sculpture. Aphrodite is the Greek goddess of love and beauty.
12 Greek Gods and Goddesses
Vietnam War. U.S. President Lyndon B. Johnson awards the Distinguished Service Cross to First Lieutenant Marty A. Hammer, during a visit to military personnel, Cam Ranh Bay, South Vietnam, October 26, 1966. President Johnson
Vietnam War Timeline
Person paying with a credit card using a credit card terminal. Cashless payment, credit card reader
What Is a Cashless Society and How Does It Work?

Probability

Probability is a subject that deals with uncertainty. In everyday terminology, probability can be thought of as a numerical measure of the likelihood that a particular event will occur. Probability values are assigned on a scale from 0 to 1, with values near 0 indicating that an event is unlikely to occur and those near 1 indicating that an event is likely to take place. A probability of 0.50 means that an event is equally likely to occur as not to occur.

Events and their probabilities

Oftentimes probabilities need to be computed for related events. For instance, advertisements are developed for the purpose of increasing sales of a product. If seeing the advertisement increases the probability of a person buying the product, the events “seeing the advertisement” and “buying the product” are said to be dependent. If two events are independent, the occurrence of one event does not affect the probability of the other event taking place. When two or more events are independent, the probability of their joint occurrence is the product of their individual probabilities. Two events are said to be mutually exclusive if the occurrence of one event means that the other event cannot occur; in this case, when one event takes place, the probability of the other event occurring is zero.