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Part I. Read and understand each item, then choose the letter of your answer and write it on your answer sheet. 1. When the events occur at the same time, the events are A) Random B) Mutually Exclusive C) Not Mutually Exclusive B) Compound 2. When the events cannot occur at the same time, the events are A) Random B) Mutually Exclusive C) Not Mutually Exclusive B) Compound 3. Which of the following pairs of events is mutually exclusive? A) Cards: Diamonds and Spades C) Relax and watch tv B) Cards: Faces and Spades Dj Sit down and scratch your nose 4. Which of the following are mutually exclusive events when a single card is chosen at random from a standard deck of 52 playing cards? A) choosing a king or choosing a club C) choosing a king or choosing a jack B) choosing a king or choosing a heart D) none of the above 5. All of the following are mutually exclusive events when a single 6-sided die is rolled EXCEPT: A) rolling a number less than 3 or a number greater than 3 B) rolling a 4 or an odd number C) rolling a 4 or an even number D) none of the above 5 6. A single letter is chosen at random from the word ONLINE. Which events are not mutually exclusive? A) choosing a N or choosing a consonant C) choosing a N or choosing a vowel B) choosing a consonant or a vowel D) none of the above 7. If you draw one card from a standard deck, what is the probability of drawing a spade or a diamond? A) 26 B) 13 C) 13 D) 2 8. If you draw one card from a standard deck, what is the probability of drawing a diamond or a face card? 39 11 A) 2 B) 52 C) 26 D) 52 9. If you roll one die, what is the probability of getting an odd number or a multiple of 3? A) 3 B) 2 C 3 D) 52 10. Ashley has a standard deck of playing cards. She randomly selects one card and considers the following events: Event A: picking a card that is a heart; Event B: picking a card that is black Event C: picking a card that is not a spade Which of the following is a correct statement? A) A and B are not mutually exclusive C) A and C are mutually exclusive B) B and C are not mutually exclusive D) None of the above Part II. Determine whether the following events describe a mutually exclusive or not mutually exclusive events. Write M if the events are mutually exclusive and N if the events are not mutually exclusive. Afterwhich, solve its probability. 1. Find the probability of drawing a card from a standard deck and getting a jack or a six. 2. A box has 20 chips with numbers 1 to 20. What is the probability of drawing a chip that is even number and divisible by 3. 3. A spinner is numbered 1 - 12. If you spin it, find the probability of spinning an odd number or a number less than 9. 4. You roll a fair six-sided die, Solve for the probability of the number where the die shows an even number or a number greater than three. 5. If you are pick a card randomly from a standard deck of cards, find the probability of getting a jack or not a face card.Activity 2. Something Exclusive Consider the situations below and answer the questions that follow. 1. Roll a die. Event A: Roll a die and get a "3", Event B: Roll a die, and get an even number. a. The probability that you get a "3", P(A), is b. The probability that you get an even number, is c. The probability of getting a "3" or an even number, P(A or B), is 1. Get one piece from Donna's one-dozen donuts. Each donut has a unique flavor. Event A: You get a strawberry flavored donut. Event B: You get an apple flavored donut. a. P(A) = b. P(B) = DONUTS c. The probability of getting a strawberry or an apple flavored donut, P(A or B), isDIRECTIONS: Read and understand each item, then write the letter of your answer on the space provided. 1. When the events cannot occur at the same time, the events are A) Compound B) Not Mutually Exclusive C) Mutually Exclusive D) Random 2. Which of the following pairs of events is mutually exclusive? A) Cards: Aces and Spades C) Two dice: Odd and even B) Sit down and stand up D) Sit down and scratch your nose 3. A card is chosen at random from a pack of 52 playing cards. What is the probability of choosing a King or a Queen? A) 0 B) 169 C) 13 D) 13 4. If you draw card from a standard deck of cards, what is the probability 1 of drawing a "5" or a diamond? A) 26 B) 13 C) 13 D) 2 5. If you draw one card from a standard deck, what is the probability of drawing a 39 diamond or a red card? A) 2 B) 52 C) 13 D) 52 6. If you roll one 6-sided die, what is the probability of getting an odd number or a "6"? A) 3 B) 2 C) 3 D) 6 7. If you roll one 6-sided die, what is the probability of getting an even number or a multiple of 3? A) 3 B ) 2 C) 3 D) 6 8. Which of the following shows how to determine the probability of spinning a shaded number or number less than five? 2 4 4 24 A) 8+8-8 B)8+a-8 C) 8+8-B D) a+8-8 4 4 6 9. Avelino's basketball shooting records indicate that for any frame, the 5 probability that he will score in a 2-point shoot is 30%, a 3-point shoot is 45%, and neither is 25%. What is the probability that Avelino will score either in a 2-point shoot or in a 3-point shoot? A) 1 B) 2 C ) 4 D) 4 10. Which of these pairs of events shows a Not Mutually Exclusive? A) Getting heads or tails on a single coin toss B) A number that is even number or has at least one digit 3 from the set of two-digit numbers from 10 to 99 inclusive. C) A die rolling a number less than 5 and greater than 5 D) Getting a royal card or an ace in a standard deck of cards. 11. A die is rolled once. Find the probability of obtaining an even number. a. 26 b. 23 C. 12 d. 13 12. The probability of tails landing up when you flip a coin is 12. What is the probability of getting heads when you flip it again? a. 26 b. 23 c. 12 d. 13 13. Which of the following situations or activities involve probability? a. matching shirts and pants b. assigning telephone numbers to subscribers c. rolling a pair of dice d. forming a committee from the members of a club 14. If A and B are events in the same sample space, then the probability of A or B occurring is: a. P(AorB)=P(AUB)=P(A)+P(B)-P(AUB) c. P(AorB)=P(AUB)=P(A)+P(B)-P(AnB) b. P(AorB)=P(AnB)=P(A)+P(B)-P(AUB) d. P(AorB)=P(AUB)=P(A)-P(B)-P(AUB) 15. A box contains 5 red balls, 3 yellow balls, 2 green balls. If a ball is picked at random from the box, what is the probability that a ball picked is a yellow ball? a. 210 b. 23 c. 31 0 d. 13 For numbers 16-19: The Venn Diagram below shows the probabilities of Grade 10 students choosing Modular (M) or Online (O) for the new normal in education. 16. Find P(M). M a.0.9 b. 0.7 c. 0.5 d. 0.3 O 17. Find P(O) a.0.9 b. 0.7 c. 0.5 d. 0.3 0.4 0.3 0.2 18. Find P(Mno) a.0.9 b. 0.7 c. 0.5 d. 0.3 19. Find P(MUO) 0.1 a.0.9 b. 0.7 c. 0.5 d. 0.3 20. If a pair of dice is rolled, then determine the number of sample points of the sample space a. 4 b. 6 c. 12 d. 36