Class - 14 Ex - 14.1, Q14 to Q25 Probability || NCERT CBSE || Online teaching with Anii || Xth Board

Описание: Class - 14 Ex - 14.1, Q14 to Q25 Probability || NCERT CBSE || Online teaching with Anii || Xth Board

For CBSE Class 10 Probability solutions, refer to NCERT Chapter 14 (formerly 15), which covers random experiments, outcomes, events, and calculations for dice, cards, and real-life scenarios, with resources like ONLINE TEACHING WITH ANII offering detailed step-by-step answers for exercises like 15.1 (now 14.1) and optional ones like 15.2, focusing on concepts like 0 ≤ P(E) ≤ 1 and complementary events. 

Key Concepts in Class 10 Probability:

Random Experiment: An experiment with uncertain outcomes (e.g., rolling a die).

Outcome: A possible result (e.g., getting a '3' on a die).

Event: A collection of outcomes (e.g., getting an odd number).

Probability Formula: P(E) = (Number of Favorable Outcomes) / (Total Number of Outcomes).

Range of Probability: 0 ≤ P(E) ≤ 1, where 0 is an impossible event and 1 is a sure event.

Complementary Events: P(E) + P(not E) = 1. 


Examples of Problems Solved


Dice Rolls: Probability of prime numbers, odd numbers, or specific sums.

Card Problems: Drawing a red king or specific suits from a deck.

Real-life Scenarios: Drawing colored balls from a bag or coins from a piggy bank. 


Example: Deck of Cards

Problem: Probability of drawing a red king from a standard deck.

Solution: Total cards = 52. Red kings (King of Hearts, King of Diamonds) = 2. P(Red King) = 2/52 = 1/26. 

Example: Fish Tank

Problem: A tank has 5 male & 8 female fish. Find P(Male fish).

Solution: Total fish = 5+8 = 13. Male fish = 5. P(Male) = 5/13. 

Example: Piggy Bank

Problem: 100 (50p), 50 (₹1), 20 (₹2), 10 (₹5) coins. Find P(50p coin).

Solution: Total coins = 100+50+20+10 = 180. P(50p) = 100/180 = 10/18 = 5/9. 

Example: Tossing Coins

Problem: Tossing two coins. Is P(Two Heads) = P(One of each) = 1/3?

Solution: Incorrect. Outcomes: HH, HT, TH, TT (Total 4). P(Two Heads) = 1/4. P(One of each) = 2/4 = 1/2. P(Two Tails) = 1/4. 




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