📊 CET Maths – Probability Short Notes By Sarthak Patil

 🔹 Introduction:


Probability म्हणजे "शक्यता". हा chapter conceptual आणि scoring आहे. CET/NEET मध्ये दरवर्षी 1-2 प्रश्न probability वरून येतात.

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📘 1. Basic Terms:


Experiment: कोणतीही क्रिया ज्याचा result निश्चित नाही


Sample Space (S): सगळे शक्य outcomes


Event (E): एखादा outcome किंवा त्याचा group


Favorable Outcomes: हवे असलेले outcomes

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📗 2. Important Formula:


Probability of an event (E):



P(E) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}


0 ≤ P(E) ≤ 1


P(E') = 1 – P(E) (complementary event)

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🎲 3. Example Problems:


🎯 Q1: एका coina ला टाकल्यावर head येण्याची शक्यता काय?

👉 S = {H, T} → P(H) = 1/2


🎯 Q2: एका dice वर 2 येण्याची शक्यता?

👉 S = {1,2,3,4,5,6} → P(2) = 1/6


🎯 Q3: एका कार्डातून King काढण्याची शक्यता?

👉 Total cards = 52 → Kings = 4 → P(King) = 4/52 = 1/13

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🧠 4. Quick Tips:


Probability कधीच negative होत नाही


जर “at least” असं दिलं, तर complementary rule वापर


Total outcomes नीट count कर


Replacement/No Replacement समजून घे

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🔖 CET Shortcut Code:


Coin → 2 outcomes


Dice → 6 outcomes


2 Dice → 36 outcomes


Deck of Cards → 52 cards

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✅ Conclusion:


Probability म्हणजे logic आणि counting यांचं combo. concept नीट समजून घेतलं तर short tricks वापरून 30 सेकंदात प्रश्न सुटतो!


📘 Regular practice आणि formula revision = sure-shot CET marks!

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📌 Stay tuned on “Sarthak’s Education Corner” for more Maths & Science Tricks!


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