Subject: Probability and Statistics

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Activity 1 Find what is asked in each problem. You may use the tree diagram or the FCP to answer the problem. 1. Find the total number of outcomes of each given situations below. a) tossing a coin three times b) answering two multiple questions with four choices each 2. How many 4-digit codes can be formed from the digits 1,3,5,7, and 9 if repetition of digits is not allowed?Activity 2 Match each problem on the left to its corresponding answer on the right. Write the letter of the correct answer on the space before each number. Problem Number of Ways 1. In how many ways can six books, A) 12 no two of which are the same, be arranged in a shelf? B) 24 2. How many permutations are there for the letters of the word ALIVE? C) 120 3. A code is composed of two letters followed by three digits, using M, C, 1, 2, and 3. D) 600 How many codes can be formed if repetition is not allowed? E) 720 4. In how many ways can four bikes, no two of which are the same, F) 800 be displayed in a window?Activity 3: Trace the path of the boy going to the other side of the swamp. The answer to each question below will give a clue to his path. 1. 6! 2. 213! 3. . 4P4 5. 8P4 6. How many permutations are there in the letters of the word HOPEFUL? 7. How many four-digit codes can be made out of the digits 0, 2, 4, 6, and 8 if repetition of digits is not allowed? 8. In how many ways can 4 distinct red cars and 4 distinct black cars be parked in a row of 6 - car garage? 20160 5040 120 1680 224 20% 200 336 102 20 12 256 16 56 720