Subject: Probability and Statistics

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Activity 1 Solve the following problems. 1) A one-peso coin and a 5-peso coin are tossed once. Find the probability of getting two heads. Answer: 2) A spinner is divided into 5 congruent parts and numbered 1 to 5. If it is spun twice, find the probability of each of the following events: a. Both spins stop on even numbers. Answer: b. Both spins stop on prime numbers. Answer: 3) Two fair dice are rolled once. Find the probability of each of the following events: a. A sum less than 5. Answer: b. One number is 3 and the other is even. Answer:Activity 2 Put a tick ( /) if the events can happen at the same time and (X) if they can't happen at the same time on the box. 1) A = tossing a coin and getting a head B = tossing a coin and getting a tail 2) A = rolling a die and getting a factor of 6 B = rolling a die and getting a prime number 3) A = a heart is drawn from a standard deck of cards B = a face card is drawn from a standard deck of cards 4) A = an '8' is drawn from a standard deck of cards B = a king is drawn from a standard deck of cards 5) A = a multiple of 3 turning up in rolling a die once B = a factor of 4 turning up in rolling a die onceActivity 3 Determine if each pair of events are mutually exclusive (ME) or not mutual exclusive (I). Write your answer on the blank before each number. 1) drawing 'a jack' and 'a club' from a standard deck of cards 2) drawing 'a 7' and 'a 4' from a standard deck of cards 3) picking 'a blue ball' and 'a red ball' in a basket 4) electing 'the president' and 'the secretary' of the class 5) getting 'an even number' and 'a factor of 4' in rolling a fair die once 6) getting 'a prime number' and 'a multiple of 2' in rolling a fair die once 7) getting 'a l' and 'a prime number' in rolling a fair die once 8) getting 'a grade of 90 in Math' and getting 'a grade of 90 in English' 9) working in Davao' and you are an Ilokano' 10) 'attending a class in the school' and 'sleeping on bed at home'Now that you are already familiar with mutually exclusive and not mutually exclusive events, you are now ready to answer the next activities. Activity 4 John Donne famously wrote this poem comparing people to countries and arguing for the interconnectedness of all people with God. 7 6 3 7 2 4 3 7 8 8 6 3 7 5 Direction. To decode the message, solve the following problems on a separate sheet of paper. 1) A fair die is rolled once, what is the 5) A card is drawn at random from a probability of getting a factor of 4 standard deck of 52 cards. Find or a multiple of 3. the probability of drawing a 7 or a red card? 2) A number is drawn at random from the set {1, 2,3, ..., 20}. Find the 6) A spinner is divided into 7 probability that the number congruent parts. If it is spun once, chosen is a multiple of 3 or a find the probability of getting a 1 or multiple of 10. a composite number. 3) Suppose out of 100 grade10 7) Each of the letters A, B, C, D, E students, 35 play basketball, 25 and F is written on a face of a play volleyball and 10 play cube. If the cube is rolled once, basketball and volleyball. What is what is the probability of that 'a the probability that a student play consonant' or 'a letter in the word basketball or volleyball? FADE' turn up? 4) Each of the letters S, A, F, E, T and 8) A box of miniature cars contains 6 Y is written on a face of a letter red cars, 5 blue cars and 7 black cube. Find the probability that a letter of the word FACE or a letter cars. One car is drawn at random of the word MASK will appear from the box. What is the when you roll the letter cube once. probability of drawing either a red or a black car?D M Z 7 13 WIN 13 18 Activity 5. Solve the following problems. Show your solutions below each problem. 1) The probabilities of three students, Rey, Oliver and Gemma, to be elected as SSG president are , - and respectively. Find the probability that a. either Oliver or Gemma will be elected. b. either Rey or Oliver will be elected. c. neither Rey nor Gemma will be elected. 2) Mrs. Cruz has 55 students, 30 males and 25 females. One-third of the males and 60% of the females have internet connection. What is the probability that a student chosen is a. a female or has no internet connection? b. a male or has no internet connection