Stake attention in this memory
The image shows a section of a blackboard in a classroom setting, likely in Izhevsk, Russia, given the Cyrillic text. The blackboard is dark green and framed by white borders. It is covered with mathematical formulas and notations written in white chalk. On the left section of the blackboard, there's a large Omega symbol (Ω) followed by "-счетное", which translates to "-countable". Below this, the formula Ω = {ω₁, ω₂, ..., ωn, ...} is written, indicating a countable set. Following this, there are probabilities p₁, p₂, ..., pn, ... and a circled equation: ∑ pₙ = 1 from n=1 to infinity. Further down, an event A is defined as A = {ωi, ωi₂, ..., ωik} and its probability P(A) is expressed as a summation ∑ pᵢₖ from k=1 to infinity. The middle section of the blackboard contains the text "Геометрическая вер-ть", translating to "Geometric probability". Below this, Ω = ℝ² is written, signifying that the sample space is the set of real numbers squared. The event A is defined as A ⊆ Ω, meaning event A is a subset of the sample space. The formula for the probability of event A is given as P(A) = m.A / m.Ω, where 'm' likely represents measure. The rightmost visible section of the blackboard shows a diagram which appears to be a graph with axes labeled 'λ' and 'x'. There is a shaded region within the graph, suggesting a geometric representation of probability. Below this diagram, some mathematical expressions are present, including "m.A=1, m.Ω=2", and "-1/2", and "P(A=...)". Another section seems to show a geometrical representation of a sample space Ω with a subset A inside. The blackboard is mounted on a wall and is partially obscured by a white ledge along its bottom edge. The overall environment suggests an academic setting like a school or university. The lighting appears to be artificial, casting a slight glare on the blackboard surface in some areas. The image is taken from a low angle, looking upwards towards the blackboard.
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