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PDF InMATHiA,QouQ3=$LM«2pdfe mutually exclusive events ara snlve problems on probability. Mutually exclusive event is an event that cannot occur at the same time. Look at the illustration below: Mutually Exclusive Events A B P(A or B) = P(A) + P(B) In this illustration it shows that mutually exclusive events are those events which do not have anything in common. In other words, these events do not have an intersection. These are characterized by the word "or". It is the sum of individual probability written as, P(A or B) = P(A) + P(B) P(A U B) = P(A) + P(B) Examples: 1. Turning left and right (you cannot do this both at the same time. 2. Getting a head and tail in tossing a coin (you can't do this both at the same time. PERFORMANCE TASK 7 Tell whether the following event is a mutually exclusive or NOT. Write an answer on the space provided. 1. Moving backwards and forwards. 2. Getting an Ace or a Spade from a deck of cards. 3. Getting a face card or a club from a deck of cards. 4. Going to East and West. 5. Dancing and singing.

PDF InMATHiA,QouQ3=$LM«2pdfe mutually exclusive events ara snlve problems on probability. Mutually exclusive event is an event that cannot occur at the same time. Look at the illustration below: Mutually Exclusive Events A B P(A or B) = P(A) + P(B) In this illustration it shows that mutually exclusive events are those events which do not have anything in common. In other words, these events do not have an intersection. These are characterized by the word "or". It is the sum of individual probability written as, P(A or B) = P(A) + P(B) P(A U B) = P(A) + P(B) Examples: 1. Turning left and right (you cannot do this both at the same time. 2. Getting a head and tail in tossing a coin (you can't do this both at the same time. PERFORMANCE TASK 7 Tell whether the following event is a mutually exclusive or NOT. Write an answer on the space provided. 1. Moving backwards and forwards. 2. Getting an Ace or a Spade from a deck of cards. 3. Getting a face card or a club from a deck of cards. 4. Going to East and West. 5. Dancing and singing.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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ll SMART 7:01 PM @ 10%C drive.google.com Done VVTTUt T TIEEU LO KINOV : PDF InMATIie. QouQ3=$LM:2pdie mutually exclusive events ara snlve problems on probability. Mutually exclusive event is an event that cannot occur at the same time. Look at the illustration below: Mutually Exclusive Events B P(A or B) = P(A) + P(B) In this illustration it shows that mutually exclusive events are those events which do not have anything in common. In other words, these events do not have an intersection. These are characterized by the word "or". It is the sum of individual probability written as, P(A or B) = P(A) + P(B) P(A U B) = P(A) + P(B) Examples: 1. Turning left and right (you cannot do this both at the same time. 2. Getting a head and tail in tossing a coin (you can't do this both at the same time. PERFORMANCE TASK 7 Tell whether the following event is a mutually exclusive or NOT. Write an answer on the space provided. 1. Moving backwards and forwards. 2. Getting an Ace or a Spade from a deck of cards. 3. Getting a face card or a club from a deck of cards. > 4. Going to East and West. 5. Dancing and singing. 25 What is it? Let us illustrate the probability of mutually exclusive events. Examples: 1. The probability of getting an ace or a king from a deck of cards. The figure illustrates mutually exclusive events. Aces and Kings cannot occur at the same time. In Aces Kings A KA AV A KA symbol. P(Ace or King)= P(Ace) + P(King) P(Ace u King) = P(Ace) + P(King) 52 cards, sa= 52| Page The 25 of getting 30ce is 4. The event of getting a King is 4. Aces and Kings a Mutually Exclusive (can't be both)
Transcribed Image Text:ll SMART 7:01 PM @ 10%C drive.google.com Done VVTTUt T TIEEU LO KINOV : PDF InMATIie. QouQ3=$LM:2pdie mutually exclusive events ara snlve problems on probability. Mutually exclusive event is an event that cannot occur at the same time. Look at the illustration below: Mutually Exclusive Events B P(A or B) = P(A) + P(B) In this illustration it shows that mutually exclusive events are those events which do not have anything in common. In other words, these events do not have an intersection. These are characterized by the word "or". It is the sum of individual probability written as, P(A or B) = P(A) + P(B) P(A U B) = P(A) + P(B) Examples: 1. Turning left and right (you cannot do this both at the same time. 2. Getting a head and tail in tossing a coin (you can't do this both at the same time. PERFORMANCE TASK 7 Tell whether the following event is a mutually exclusive or NOT. Write an answer on the space provided. 1. Moving backwards and forwards. 2. Getting an Ace or a Spade from a deck of cards. 3. Getting a face card or a club from a deck of cards. > 4. Going to East and West. 5. Dancing and singing. 25 What is it? Let us illustrate the probability of mutually exclusive events. Examples: 1. The probability of getting an ace or a king from a deck of cards. The figure illustrates mutually exclusive events. Aces and Kings cannot occur at the same time. In Aces Kings A KA AV A KA symbol. P(Ace or King)= P(Ace) + P(King) P(Ace u King) = P(Ace) + P(King) 52 cards, sa= 52| Page The 25 of getting 30ce is 4. The event of getting a King is 4. Aces and Kings a Mutually Exclusive (can't be both)
ll SMART 7:01 PM @ 10%C drive.google.com Done e. Using the formula: P(A U B) = P(A) + _P(B) – P(A_n B) MATH10 Q3-SLM-2.pdf_ 21 PDF P(AU B) 100 100 100 100 25 21 * Therefore, the probability that it was a female or ages 20-34 is 25 E What is more? Learning Task 8 A. Find the probability of the following. 1. Find the probability of not getting 3 in casting a die. 2. From a set of numbers from 1 to 10, find the probability of picking a prime number. 3. Find the probability of getting a Queen from a deck of 52 playing cards. 4. A roulette contains 3 red balls, 4 yellow balls, 8 blue balls and 5 gray balls. Find the probability of picking a yellow ball. 5. Find the probability of getting a sum of 7 in casting a pair of dice. B. Find probability of a union of two events. 1. A jar contains 20 balls numbered 1 to 20. If a ball was drawn randomly from a jar, find the probability of picking, a. an even number and a multiple of 4. b. a factor of 10 and divisible by 5. 2. If a pair of dice was thrown, what is the probability of landing: く a. two – even and only one-four. > b. at least one – three and two odd numbers C. sum of 6 and a pair of odd numbers. 24 Lesson Title A What I have learned? PERFORMANCE TASK 6 1. What have you learned from this module? 2. How did you find the probability of A u B? What are the steps? 3. How can you relate the lesson in real life? Illustrating Mutually Exclusive Pagets 24d Iol 30 Problems Involving Probability Week
Transcribed Image Text:ll SMART 7:01 PM @ 10%C drive.google.com Done e. Using the formula: P(A U B) = P(A) + _P(B) – P(A_n B) MATH10 Q3-SLM-2.pdf_ 21 PDF P(AU B) 100 100 100 100 25 21 * Therefore, the probability that it was a female or ages 20-34 is 25 E What is more? Learning Task 8 A. Find the probability of the following. 1. Find the probability of not getting 3 in casting a die. 2. From a set of numbers from 1 to 10, find the probability of picking a prime number. 3. Find the probability of getting a Queen from a deck of 52 playing cards. 4. A roulette contains 3 red balls, 4 yellow balls, 8 blue balls and 5 gray balls. Find the probability of picking a yellow ball. 5. Find the probability of getting a sum of 7 in casting a pair of dice. B. Find probability of a union of two events. 1. A jar contains 20 balls numbered 1 to 20. If a ball was drawn randomly from a jar, find the probability of picking, a. an even number and a multiple of 4. b. a factor of 10 and divisible by 5. 2. If a pair of dice was thrown, what is the probability of landing: く a. two – even and only one-four. > b. at least one – three and two odd numbers C. sum of 6 and a pair of odd numbers. 24 Lesson Title A What I have learned? PERFORMANCE TASK 6 1. What have you learned from this module? 2. How did you find the probability of A u B? What are the steps? 3. How can you relate the lesson in real life? Illustrating Mutually Exclusive Pagets 24d Iol 30 Problems Involving Probability Week
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