Location via proxy:   [ UP ]  
[Report a bug]   [Manage cookies]                
SlideShare a Scribd company logo

Probability of Union of Two events

•Download as PPTX, PDF•
•
J
JAYHARYLPESALBON1

The document discusses mutually exclusive and non-mutually exclusive events. It provides examples to illustrate the difference, including examples involving drawing balls from a jar numbered 1-15 and rolling a die. It discusses how to calculate the probability of unions of events depending on whether they are mutually exclusive or not. Key points are that for mutually exclusive events, the probability of their union is the sum of their individual probabilities, while for non-mutually exclusive events it is the sum of their probabilities minus their intersection.

Related slideshows

Union and intersection of events (math 10)
Union and intersection of events (math 10)Union and intersection of events (math 10)
Union and intersection of events (math 10)
 
Detailed Lesson Plan on Measures of Variability of Grouped and Ungrouped Data
Detailed Lesson Plan on Measures of Variability of Grouped and Ungrouped DataDetailed Lesson Plan on Measures of Variability of Grouped and Ungrouped Data
Detailed Lesson Plan on Measures of Variability of Grouped and Ungrouped Data
 
Summative Test on Measures of Position
Summative Test on Measures of PositionSummative Test on Measures of Position
Summative Test on Measures of Position
 
1 of 21
TAKE A LOOK AT THE FOLLOWING PICTURES. DETERMINE IF YOU CAN SELECT ONE OR BOTH AT THE SAME TIME. Which road are you going to take, LEFT or RIGHT?
HOT OR COLD?
Playing DOTA or studying your lessons?
MAHAL KO O MAHAL AKO?
MUTUALLY EXCLUSIVE EVENTS -are events that cannot occur at the same time.
NOT MUTUALLY EXCLUSIVE EVENTS -are events that can occur at the same time
Why is it important in life to learn how to decide what to choose? Or when to choose both?
REVIEWING PAST LESSON
Identify whether it is mutually exclusive event or not mutually exclusive event.
Shout OKEEY KEEYOHH if the given is mutually exclusive and LAMI KEEYOOH if not.
Given: Fifteen balls in a jar are numbered 1 – 15. A ball is drawn at random. Find the probability that the number on the ball is:
a.Less than 6 or greater than 9 ? b.Even or less than 6? c.Odd or greater than 9? d.Even or odd?
PROBABILITY OF UNION OF TWO EVENTS MUTUALLY AND NOT MUTUALLY EXCLUSIVE EVENTS
If A and B are mutually exclusive events, then the probability that A or B occurring is : P( A or B) = P(A) + P(B)
EXAMPLE: GIVEN: Fifteen balls in a jar are numbered 1 – 15. A ball is drawn at random. Find the probability that the number on the ball is:
A. Less than 6 or greater than 9 ? B. Divisible by 4 or Greater than 12.
If A and B are not mutually exclusive events, then the probability that A or B is occurring is: P( A or B) = P(A) + P(B) – P(A ꓵ B)
EXAMPLE: Fifteen balls in a jar are numbered 1 – 15. A ball is drawn at random. Find the probability that the number on the ball is:
a.Even or divisible by 3? b.Odd or greater than 9?
Given: A fair six-sided die is rolled. What is the probability that Mario will win if he chooses: a.Minor or Major? b.Even or Minor
EVALUATION Given: In a raffle draw. 20 balls are put inside a jar numbered from 1-20. What is the chance of winning if Maria beats money for balls: a. Even or divisible by 5. b. Less than 5 or greater than 15.

More Related Content

Probability of Union of Two events

  • 1. TAKE A LOOK AT THE FOLLOWING PICTURES. DETERMINE IF YOU CAN SELECT ONE OR BOTH AT THE SAME TIME. Which road are you going to take, LEFT or RIGHT?
  • 3. Playing DOTA or studying your lessons?
  • 4. MAHAL KO O MAHAL AKO?
  • 5. MUTUALLY EXCLUSIVE EVENTS -are events that cannot occur at the same time.
  • 6. NOT MUTUALLY EXCLUSIVE EVENTS -are events that can occur at the same time
  • 7. Why is it important in life to learn how to decide what to choose? Or when to choose both?
  • 9. Identify whether it is mutually exclusive event or not mutually exclusive event.
  • 10. Shout OKEEY KEEYOHH if the given is mutually exclusive and LAMI KEEYOOH if not.
  • 11. Given: Fifteen balls in a jar are numbered 1 – 15. A ball is drawn at random. Find the probability that the number on the ball is:
  • 12. a.Less than 6 or greater than 9 ? b.Even or less than 6? c.Odd or greater than 9? d.Even or odd?
  • 13. PROBABILITY OF UNION OF TWO EVENTS MUTUALLY AND NOT MUTUALLY EXCLUSIVE EVENTS
  • 14. If A and B are mutually exclusive events, then the probability that A or B occurring is : P( A or B) = P(A) + P(B)
  • 15. EXAMPLE: GIVEN: Fifteen balls in a jar are numbered 1 – 15. A ball is drawn at random. Find the probability that the number on the ball is:
  • 16. A. Less than 6 or greater than 9 ? B. Divisible by 4 or Greater than 12.
  • 17. If A and B are not mutually exclusive events, then the probability that A or B is occurring is: P( A or B) = P(A) + P(B) – P(A ꓵ B)
  • 18. EXAMPLE: Fifteen balls in a jar are numbered 1 – 15. A ball is drawn at random. Find the probability that the number on the ball is:
  • 19. a.Even or divisible by 3? b.Odd or greater than 9?
  • 20. Given: A fair six-sided die is rolled. What is the probability that Mario will win if he chooses: a.Minor or Major? b.Even or Minor
  • 21. EVALUATION Given: In a raffle draw. 20 balls are put inside a jar numbered from 1-20. What is the chance of winning if Maria beats money for balls: a. Even or divisible by 5. b. Less than 5 or greater than 15.