9. Draw a branching diagram in the space below and then write the sample space as a set. Experiment: Roll a die { 1 , 2 , 3, 4 , 5, 6 ) and then spin the spinner Sample Space Diagram: List the Sample Space in the brackets below: Note: Each of the outcomes in the sample space are equally likely. { IA, ID, 2 A, 20, 3 A, BD, QA, 40 , SA, SD, GA , 6D Find the following probabilities if you select one member of the sample space at random Answer as a fraction and as a decimal rounded to 2 decimal places. 9A. P( the outcome contains an even number ) = 12 150 fraction decimal 9B. P( the outcome contains a number less than 5 ) = = 167 9C. P( the outcome contains the letter A ) = 12 - = 150 9D. P( the outcome contains the letter A or D) = D = \\ 9E. P( the outcome contains a number less than 4 and the letter D) = 12 = 125 9F Pi the ins a number more than 2 and the letter A) = 12 = ,3310. Draw a branching diagram in the space below and then write the sample space as a set. and then spin the B Experiment: spin the second spinner first spinner E Sample Space Diagram: List the Sample Space in the brackets below: Note: Each of the outcomes in the sample space are equally likely. { AA, AB, AE; DA, DB , DE Find the following probabilities if you select one member of the sample space at rando Answer as a fraction and as a decimal rounded to 2 decimal places. 3 10A. P( the outcome starts with the letter D ) = 6 .50 fraction decimal 2 10B. P( the outcome contains one letter B ) = 6 = 33 10C. P( the outcome contains the letters A or B ) = = _83 10D. P( the outcome contains the letters A or D ) = = 10E. P( the outcome contains two letter A's) = = 117 10F. P( the outcome ends with the letter M) = =11. Draw a branching diagram in the space below and then write the sample space as a set. Experiment: You flip a coin ( H or T ) three times in a row Sample Space Diagram: List the Sample Space in the brackets below: Note: Each of the outcomes in the sample space are equally likely. { HHH, HHT, HTH, HTT, THA, THT, TTH, TTT } Find the following probabilities if you select one member of the sample space at random Answer as a fraction and as a decimal rounded to 2 decimal places. 11A. P( the outcome contains exactly one head ) = 38 fraction decimal 11B. P( the outcome contains at least two heads ) = 11C. P( the outcome contains exactly one tail ) = = 138 11D. P( the outcome contains at least one tail ) = = 168 11E. P( the outcome contains more than one tail) = = .SO 11F. P( the outcome contains at least one head) = = . 8812. Draw a branching diagram to display the sample space. Find the following probabilities based on the sample space. State the answer as a reduced fraction. Experiment: You make a two digit number by selecting a number from { 3 , 4 , 5 } for the tens digit and then selecting a number from { 4 , 5 , 6 } for the ones digit. Sample Space Diagram: List the Sample Space in the brackets below: Note: Each of the outcomes in the sample space are equally likely { 84, 35, 86, 44, 45, 46, 54, 55, 56 Find the following probabilities if you select one member of the sam? ace at random Answer as a fraction and as a decimal rounded to 2 decimal places 12A. P( the number is even) = = .67 fraction decimal 12B. P( the number is odd) = = 133 12C. P( the number is > 45) = 9 = 144 12D. P( the number is s 35) = = .22 12E. P( the number is divisible by 3) = 9 .33