Ch 14 - Probability11th Mathematics
Random Experiment Conditions
What are the two strict mathematical conditions an activity must satisfy to be classified as a 'Random Experiment'?
What are the two strict mathematical conditions an activity must satisfy to be classified as a 'Random Experiment'?
- Point 1: It must have strictly more than one possible outcome.
- Point 2: It is mathematically impossible to predict the exact outcome in advance.
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Sample Space and Sample Points
Define the terms 'Sample Space' and 'Sample Point' in the context of probability.
Define the terms 'Sample Space' and 'Sample Point' in the context of probability.
- Sample Space (): The set of absolutely all possible outcomes of a random experiment.
- Sample Point: Each individual element (or outcome) within that sample space.
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Deck of Cards Anatomy
What is the mathematical distribution of colours, suits, and face cards in a standard deck of 52 playing cards?
What is the mathematical distribution of colours, suits, and face cards in a standard deck of 52 playing cards?
- Total Cards: (excluding Jokers).
- Colours: Red (Hearts , Diamonds ), Black (Spades , Clubs ).
- Suits: suits of exactly cards each.
- Face Cards: Jacks (J), Queens (Q), Kings (K). There are strictly face cards total. (Note: Aces are NOT face cards).
- Honour Cards: Aces + Face Cards ( total).
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Also in this chapter
29 more cards to study in Prism
- 4Mathematical Definition of an Event
- 5Impossible vs. Sure Events
- 6Simple vs. Compound Events
- 7Mutually Exclusive Events
- 8Exhaustive Events
- 9Mutually Exclusive AND Exhaustive Validation
- 10Complementary Event Set Notation
- 11Union Notation (A or B)
- 12Intersection Notation (A and B)
- 13Difference Notation (A but not B)
- 14SOP: Validating Axiomatic Assignments
- 15Classical Probability Formula
- 16Complementary Probability
- 17General Addition Rule (A or B)
- 18Addition Rule: Mutually Exclusive
- 19Addition Rule for Three Events
- 20Probability of 'A but not B'
- 21De Morgan's Probability (Neither)
- 22Event Subset Conditions
- 23Probability Inequality Chain
- 24SOP: Combinatorics Denominator Setup
- 25SOP Logic: Drawing 'Different Colours'
- 26Formula: Probability of One-to-One Mappings
- 27Leap Year vs. Non-Leap Year Trap
- 28Language Trap: 'At least' vs 'At most'
- 29Consistently Defined Probabilities Bound
- 30SOP Setup: Biased / Loaded Outcomes
- 31Symmetry Trap in Relative Ordering
- 32Concept: Indefinite Trials Sample Space
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