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Probability Beyond the Basics: Part- 2

Taking Your Mastery of Probability to the Next Level

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Probability Beyond the Basics: Part- 2
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Utajifunza nini

What is the meaning of probability?
How to calculate the probability of an item which is not present in the bag?
How to calculate the probability that the two students have the same birthday?
How to calculate the probability of a particular marble when there are three different marbles in the bag?

Maudhui ya Kozi

2 sehemu • 8 mihadhara • 00:55:27 urefu wa jumla

Introduction

02:48
  1. Probability is a fundamental concept in mathematics and statistics.
  2. It quantifies the likelihood of an event occurring. Probability is expressed as a number between 0 and 1. A probability of 0 means that the event will not happen (an impossible event) and probability of 1 represents a certain event and values in between reflect varying degrees of likelihood.
  3. Probability Axiom or Probability Bounds (0 ≤ P(E) ≤ 1) indicate that the probability of an event (P(E)) is always a value that falls between 0 (inclusive) and 1 (inclusive).
  4. The sum of two complementary events is equal to 1.
P(E) + P (not E) = 1
  1. The formula for calculating the probability of an event E is:
P(E) = Number of Favorable Outcomes/Total Number of Possible Outcomes
  1. Whether it's predicting the weather conditions, assessing the chances of winning a game, or making informed financial investments, probability is an essential tool that helps us in making rational decisions in situations where outcomes are uncertain or unpredictable.

Students having same birthday

03:45

In a group of 3 students, the probability of 2 students not having the same birthday is given. How to calculate the probability of 2 students having the same birthday?

Probability: Bag containing lemon flavoured candies

11:20

A bag contains lemon flavoured candies only. What is the probability of getting an orange flavoured candy? How to calculate the probability of getting a lemon candy?

Probability: Red, White and Green Marbles

05:05

A box contains red, white and green marbles. How to calculate the probability that the marble taken out is (i) red (ii) white (iii) not green?

Probability: Bag containing red and black balls

05:05

A bag contains red balls and black balls. How to calculate the probability that ball drawn is (i) red (ii) not red?

Probability : Coins of different denomination

07:22

A piggy bank contains coins of different denomination. If one of the coins falls when the piggy bank is turned upside down, what is the probability that the coin (i) will be a 50 p coin (ii) will not be a Rs.5 coin?

Probability: Fish and a game of chance

11:34

1.A tank contains male fish and female fish. What is the probability that the fish taken out is a male fish?
2.A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers from 1 to 8. What is the probability that it will point at (i) 8 (ii) an odd number (iii) a number greater than 2 (iv) a number less than 9?

Probability: A dice

08:23

A dice is thrown once. How to find the probability of getting (i) a prime number (ii) a number lying between 2 and 6 (iii) an odd number?

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Basic knowledge of Algebra and Geometric concepts

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Kuhusu kozi hii

  • A bag contains lemon flavoured candies only. What is the probability of getting an orange flavoured candy? How to calculate the probability of getting a lemon candy?
  • In a group of 3 students, the probability of 2 students not having the same birthday is given. How to calculate the probability of 2 students having the same birthday?
  • A bag contains red balls and black balls. How to calculate the probability that ball drawn is (i) red (ii) not red?
  • A box contains red, white and green marbles. How to calculate the probability that the marble taken out is (i) red (ii) white (iii) not green?
  • A piggy bank contains coins of different denomination. If one of the coins falls when the piggy bank is turned upside down, what is the probability that the coin (i) will be a 50 p coin (ii) will not be a Rs.5 coin?
  • A tank contains male fish and female fish. What is the probability that the fish taken out is a male fish?
  • A game of chance consists of spinning an arrow which comes to rest pointing at one of the numbers from 1 to 8. What is the probability that it will point at (i) 8 (ii) an odd number (iii) a number greater than 2 (iv) a number less than 9?
  • A dice is thrown once. How to find the probability of getting (i) a prime number (ii) a number lying between 2 and 6 (iii) an odd number?

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