Class 10 Probability | Interactive Probability Learning Hub

🎲 Probability Learning Lab

Probability Learning Lab

Explore Probability Through Simulations, Experiments, Tree Diagrams, Games and Real-Life Applications

🎲 🪙 🃏 📊

🏆 Your Progress & Achievements

⭐ Experience Points

🔥 Streak (Tasks)

Beginner

📊 Mastery Level

✅ Completion

🏅 Earned Badges:

Complete tasks to earn badges…

🔤 Foundation of Probability

📘 Key Terms

Experiment: any process with uncertain result.

Sample Space (S): all possible outcomes.

Event (E): subset of sample space.

S = { }

Favorable outcomes: –

📈 Probability Formula

P(E) = 0 / 0 = 0

Experimental vs Theoretical

🪙 Coin Toss Simulator

Single / Two / Three Coins

Result: –

Experimental P(Heads): 0.00

Theoretical: 0.50

📉 Convergence

🎲 Dice Lab

Roll Dice

🎲 =

Sum: –

📊 Frequency Chart

🃏 Playing Cards Probability Lab

📚 Standard Deck Information

Total Cards: 52 (13 ranks × 4 suits)

♠️ Spades (Black)
A, 2-10, J, Q, K
Non-face: 8 cards
Face: 3 cards (J,Q,K)

❤️ Hearts (Red)
A, 2-10, J, Q, K
Non-face: 8 cards
Face: 3 cards (J,Q,K)

♦️ Diamonds (Red)
A, 2-10, J, Q, K
Non-face: 8 cards
Face: 3 cards (J,Q,K)

♣️ Clubs (Black)
A, 2-10, J, Q, K
Non-face: 8 cards
Face: 3 cards (J,Q,K)

🎨 Color & Type Analysis

Click to draw a card…

Drawn Card Details:

Suit: –

Color: –

Type: –

Probability: –

🔍 Card Type Classification

Select classification…

📊 Probability Questions

P(Red Card) = ?

26/52 = 0.5

P(Black Card) = ?

26/52 = 0.5

P(Face Card) = ?

12/52 ≈ 0.231

P(King or Ace) = ?

8/52 ≈ 0.154

P(Heart Card) = ?

13/52 = 0.25

P(Not a Face Card) = ?

40/52 ≈ 0.769

🎴 Visual Card Deck

🧮 Probability Formula Bank

P(E) = n(E)/n(S)
Complement: P(not E)=1-P(E)

Addition (Mutually Exclusive): P(A∪B)=P(A)+P(B)

Addition (Non-Mutually): P(A∪B)=P(A)+P(B)-P(A∩B)

Multiplication (Independent): P(A∩B)=P(A)·P(B)

🔴🔵 Mutually & Non-Mutually Exclusive Events

Venn Diagram

A: Dice even | B: Dice >4

P(A∪B) = 0.00 | Overlap: 0.00

📐 Live Calculation

Select events to see derivation.

🔗 Independent & Dependent Events

🪙🎲 Independent (Coin & Dice)

Coin: – , Dice: –

P(Head and 6) = 1/2 * 1/6 = 1/12 ≈ 0.083

🎒 Dependent (Bag of Balls)

Bag: 🔴🔴🔵🔵🟢 (5 balls)

First: – Second: –

P(red then blue) updates dynamically.

🌳 Tree Diagram Lab

Interactive Tree (Coin → Dice)

Combined probability example: P(H and 6) = 0.083

🧠 Step-by-Step Solver & Real Life

Problem Solver

Steps appear here…

🌦️ Real-Life: Weather/ Sports

Rain probability 0.3, match win if no rain 0.8. Combined?

P(win) = ?

📚 Mini Question Bank & SEE Prep

Click for a random question.

Class 10 Probability: Interactive Experiments, Tree Diagrams & Real-Life Applications