90 pupils were asked whether they owned a laptop or a tablet device. 52 said they owned a laptop. 45 said they owned a tablet. 23 said they owned both. Find the probability that a pupil chosen at ...

You may be asked to solve problems using Venn diagrams in an exam. It is really important you draw the Venn diagram and add information as you go along. This will help you keep an overview of what is ...

ABSTRACT: We elaborate on an alternative representation of conditional probability to the usual tree diagram. We term the representation “turtleback diagram” for its resemblance to the pattern on ...

Venn diagrams typically use overlapping circles to show all possible relationships between sets. Traditionally, they include just two or three sets. This example shows how red, blue and green lights ...

Abstract: Deep neural networks are frequently used by autonomous systems for their ability to learn complex, non-linear data patterns and make accurate predictions in dynamic environments. However, ...

A new rose has blossomed in the garden of mathematics: a flowery Venn diagram for 11 sets of objects. Venn diagrams use overlapping circles to show all possible relationships between sets. But ...