Direct Messages - SEQTA LeAssessment Master - Exam Wiassess.scsa.wa.edu.au/engine/index.php/Ims/indexSchool Curriculumand StandardsAuthorityNumeracy() 0:11:58 / 0:50:003175162443 of 45In a board game, two standard dice are thrown.The top numbers are then added to determine the number of spaces a player moves.To land on a blue space, Ben must throw a total of 8 or 9 on his next turn. What is the probability that Ben would land on a blue space?3623653693610Content copyright WA School Curriculum and Standards Authority 2024aAssessmentCopyright ⊕ SoNET Systems Pty Ltd. 2024(.)Master
Q. Direct Messages - SEQTA LeAssessment Master - Exam Wiassess.scsa.wa.edu.au/engine/index.php/Ims/indexSchool Curriculumand StandardsAuthorityNumeracy() 0:11:58 / 0:50:003175162443 of 45In a board game, two standard dice are thrown.The top numbers are then added to determine the number of spaces a player moves.To land on a blue space, Ben must throw a total of 8 or 9 on his next turn. What is the probability that Ben would land on a blue space?3623653693610Content copyright WA School Curriculum and Standards Authority 2024aAssessmentCopyright ⊕ SoNET Systems Pty Ltd. 2024(.)Master
Identify outcomes: Identify all possible outcomes when two dice are thrown. There are 6 faces on each die, so the total number of outcomes is 6×6=36.
Calculate favorable outcomes for 8: Calculate the number of favorable outcomes for throwing a total of 8. The combinations are (2,6), (3,5), (4,4), (5,3), (6,2). That's 5 ways.
Calculate favorable outcomes for 9: Calculate the number of favorable outcomes for throwing a total of 9. The combinations are (3,6), (4,5), (5,4), (6,3). That's 4 ways.
Add favorable outcomes: Add the favorable outcomes for 8 and 9. Total favorable outcomes =5 (for 8) +4 (for 9) =9.
Calculate probability: Calculate the probability. Probability = Number of favorable outcomes / Total number of outcomes = 369. This simplifies to 41, but we need to check the given options.