Subject: Probability and Statistics

**

Activity 1. Answer what is asked. 1) Name the elements of the following sets: a) A is the set of Southeast Asia nations. b) B is the set of months of the year with exactly 30 days. c) C is the set of positive odd integers less than 10. 2) Find the cardinality of the following sets: d) D = {positive multiples of 3 less than 30] e) E = {positive even prime number} f) F = {distinct letters in the word PHILIPPINES}3) If G = [x/x is a multiple of 3 between 10 and 28] and H = [y/y is a multiple of 6 between 5 and 40} g) GUH h) GO H 4) Linda has 6 roses, 5 anthuriums, 9 daisies, and 10 dahlias in her flower vase. If she picks one flower at random, what is the probability that she will pick a i) rose? j) daisy? 5) Grade 10 - Prestige has 18 male and 24 female students. Suppose that the officers are chosen at random, what is the probability of choosing a k) female as the president of this class? 1) male as the vice-president of this class? Let's have more! Activity 2. Identify the outcomes, sample space and event of each experiment. 1) Experiment: Rolling a six sided - die once. Outcomes: Sample Space: Event: 2) Experiment: Two leaders are selected from five students A, B, C D and E to lead a tree planting activity. Outcomes: Sample Space: Event:Activity 3. Directions: Write S if the required probability is simple and write C if compound in each of the following items. 1) The probability of getting a 4 in rolling a standard die once. 2) The probability of choosing a male student for SSG president. 3) The probability of getting an even number or a multiple of 3 on a die in rolling a standard die once. 4) The probability of drawing a spade from a standard deck of cards. 5) The probability of choosing a male and a Grade10 student for SSG President. 6) The probability of drawing a heart and a red card from a standard deck of cards.Activity 4. Identify the sample space S, the elements of M, N, MU N and M n N. ANET 1) A family of three children is selected at random from a set of families with three children each. Let M denote the family that exactly one child is a boy and N denote the family that exactly two children have the same gender. a) S= b) M = C N = d) MUN= e) MON= 2) In an experiment of turning a spinner as shown at the 8 1 right, let M denote the event that the arrow will stop on 7 2 an odd number and N denote the event that the arrow 6 3 will stop on numbers less than 6. 5 4 a) S = b) M = C N = d) MUN= e) MON=A. Categorize each statement below whether mutually or not mutually exclusive events. Write your answer in the table. Not Mutually Exclusive Events Mutually Exclusive Events Inclusive events V Events that can occur at the same time P(AUB) = P(A) + P(B) Disjoint sets Events that cannot happen at the same time B. Illustrate mutually exclusive and not mutually exclusive events using the Venn diagram