When we have event probabilities presented in Venn diagrams, we can use the fact that the probabilities in a Venn diagram must sum to 1 to help us find a missing probability. Once we have done this, we can work out whether certain events are independent, as demonstrated in the following e...
Events A and B are said to be independent if the probability of B occurring is unaffected by the occurrence of the event A happening. For example, now suppose that we are tossing a coin twice as in the tree diagram above (see more on Tree Diagrams). Let A be the event that the ...
Calculate probabilities for events, including joint probabilities, using various methods (e.g. Venn diagram, frequency table). Compare the product of probabilities for individual events (p(A) ∙ p(B)) with their joint probability (p(A ∩ B)). Understand that independent events satisfy the re...
ProbabilityVenn and Euler diagrams are valuable tools for representing the logical set relationships among events. Proportional Euler diagrams add the constraint that the areas of diagram regions denoting various compound and simple events must be proportional to the actual probabilities of these events. ...
The sets in a Venn diagram do not overlap each other in the case of mutually exclusive events, but they do overlap in the case of independent events. Questions to Be Solved: Question 1. If we throw a dice twice, then find the probability of getting two 5’s. ...
Independent events is used to describe two different sets or more sets. We do not use Venn diagram to describe their relationship but we use Tree Diagram. The difference can be seen very clearly when we are talking about the conditional Probability. ...
The probability that his sisters eats her lunch is 0.6. The probability that the girl eats her lunch given that the boy eats his is 0.9. I won't write here what I need to find, the task is quite simple. What's interesting is that here it is stated that two events are dependent. ...
The probability of gene A expression was equal in two samples could be calculated as the formula: P(y|x)=([Math Processing Error]N2N1)y[Math Processing Error](x+y)!x!y!(1+N2/N1)(x+y+1) The acquired p-value was controlled with false discovery rate (FDR) using Benjamini-Hochberg ...
(c) Venn diagram, showing the intersection between differentially regulated genes upon knockdown of LSD1 and genes with LSD1 peaks at the promoter. (d) Localisation of LSD1 peaks (ChIP-sequencing) and read coverage (RNA-sequencing) at PXN, TLN1, ZYX and PIK3R2. FC: Fold Change. (e) ...
2.Theprobabilityofgettingafourinasinglerollofafairdieis1/6regardlessoftheresultsofthecointoss.Thetwoexperimentsareindependentbecausetheresultofthecointossdoesnotaffecttheprobabilityoftheoutcomeofthedieroll.DEPENDENCE(“affecting”)Twosingleeventsaredependentiftheoccurrenceofonedoesaffecttheprobabilityoftheoccurrenceof...