ll SMART7:01 PM@ 10%Cdrive.google.comDoneVVTTUt T TIEEU LO KINOV :PDF InMATIie. QouQ3=$LM:2pdie mutually exclusive events ara snlveproblems on probability. Mutually exclusive event is an event that cannot occur at the sametime.Look at the illustration below:Mutually Exclusive EventsBP(A or B) = P(A) + P(B)In this illustration it shows that mutually exclusive events are those events which donot 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 sametime.PERFORMANCE TASK 7Tell whether the following event is a mutually exclusive or NOT. Write an answer on thespace 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.25What 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 mutuallyexclusive events. Aces and Kingscannot occur at the same time. InAcesKingsAKAAVAKAsymbol.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 aMutually Exclusive(can't be both) ll SMART7:01 PM@ 10%Cdrive.google.comDonee. Using the formula:P(A U B) = P(A) + _P(B) – P(A_n B)MATH10 Q3-SLM-2.pdf_ 21PDFP(AU B)1001001001002521* Therefore, the probability that it was a female or ages 20-34 is25EWhat is more?Learning Task 8A. 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 theprobability 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 numbersC. sum of 6 and a pair of odd numbers.24Lesson TitleAWhat I have learned?PERFORMANCE TASK 61. 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 ExclusivePagets 24d Iol 30 ProblemsInvolving ProbabilityWeek

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ll SMART7:01 PM@ 10%Cdrive.google.comDoneVVTTUt T TIEEU LO KINOV :PDF InMATIie. QouQ3=$LM:2pdie mutually exclusive events ara snlveproblems on probability. Mutually exclusive event is an event that cannot occur at the sametime.Look at the illustration below:Mutually Exclusive EventsBP(A or B) = P(A) + P(B)In this illustration it shows that mutually exclusive events are those events which donot have anything in common. In other words, these events do not have an intersection.These are characterized by the word &#34;or&#34;. 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 sametime.PERFORMANCE TASK 7Tell whether the following event is a mutually exclusive or NOT. Write an answer on thespace 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.25What 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 mutuallyexclusive events. Aces and Kingscannot occur at the same time. InAcesKingsAKAAVAKAsymbol.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 aMutually Exclusive(can't be both) ll SMART7:01 PM@ 10%Cdrive.google.comDonee. Using the formula:P(A U B) = P(A) + _P(B) – P(A_n B)MATH10 Q3-SLM-2.pdf_ 21PDFP(AU B)1001001001002521* Therefore, the probability that it was a female or ages 20-34 is25EWhat is more?Learning Task 8A. 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 theprobability 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 numbersC. sum of 6 and a pair of odd numbers.24Lesson TitleAWhat I have learned?PERFORMANCE TASK 61. 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 ExclusivePagets 24d Iol 30 ProblemsInvolving ProbabilityWeek

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