MATH REVIEW Let's Start EASY ROUND 1 EASY Which of the following situations or activities does not involve permutation? EASY A. Entering the PIN of your ATM Card. for a picture. attend to your party. EASY C. Choosing 5 of your friends to attend to your party. 2 EASY The notation “the combinations of n objects taken r at a time is . EASY A. C(n,r) B. C(n,n) C. C(r,r) EASY 𝐴. 𝐶(𝑛, 𝑟) 3 EASY Which of the following is the formula to find n objects taken r at a time if order does not matter? EASY EASY 4 EASY In how many ways can a committee consisting of 3 numbers be formed from 7 people? EASY A. 40 EASY B. 35 Use the formula for combination 5 EASY It is an event with only one possible outcome. EASY A.Sample Space B.Simple Event C.Compound Event EASY B. Simple Event 6 EASY A Science Teacher wants to assign 4 different tasks to his/her 4 students. In how many possible ways can he/she do it? EASY A.63 B.6 C.24 EASY Use the formula for permutation 7 EASY The ______of events is the set of all the elements that belong to A or B. EASY A.intersection B.compound C.union EASY C. Union 8 EASY A= {1,3,5,7,9} B={2,3,5,7,11} Find 𝐴 ∩ 𝐵. EASY A.{1,35} B.{2,5,9} C.{3,5,7} EASY 9 EASY We have six possible outcomes in one throw of a fair die. Give the events to make it NOT Mutually Exclusive Events. EASY A. A= getting an odd number B=getting a number less than 4 B. A= getting a yellow ball B=getting a red ball C. A= getting an even B=getting an odd EASY A. A= getting an odd number B=getting a number less than 4 NOT Mutually Exclusive Events (Two events will happen at the same time) Mutually Exclusive Events (Two events will happen at the same time) 10 EASY The occurrence of one event does not affect the occurrence of the other. EASY A.Dependent Event B. Mutually Exclusive Event C. Independent Event EASY C. Independent Event AVERAGE ROUND NO CHOICES 1 AVERAGE Out of the 250 Grade 10 students, 120 liked Mathematics(M), 160 liked Science(S) and 75 liked both Mathematics and Science. If a student is selected from the group, what is the probability that he/she liked Mathematics or Science? (Hint: use P(AUB) = P(A) + P (B) – P(A∩B) ANSWER 2 AVERAGE When a coin is tossed, and a die is rolled. What is the probability that a head and a 5 will turn up? (Hint: Independent Events P (A and B) = P(A) ⋅ P(B) ANSWER 3 AVERAGE A box contains 6 white balls and 6 red balls. What is the probability of drawing 1 white balls and 1 red balls in succession without replacement? (Hint: Dependent Events P (A and B) = P(A) ⋅ P(B after A) ANSWER = 𝟔 𝟓 ⋅ 𝟏𝟐 𝟏𝟏 = 𝟓 𝟑𝟎 or 𝟏𝟑𝟐 𝟐𝟐