Max Maths, Year 6, Heads Together, Probability (2)

In a mathematics exercise for Year 6 students, the task involves understanding probability through the context of rolling two dice. The students are presented with a table that they must complete, listing all the possible numerical combinations (throws) that can result in various scores when the two dice are rolled. For example, the score of 3 can be achieved by rolling a 1 and a 2, or a 2 and a 1 on the two dice. Similarly, the score of 9 has four possible combinations: (3, 6), (4, 5), (5, 4), and (6, 3). The highest score of 12 can only be obtained by rolling a 6 on both dice, as indicated by the single combination (6, 6) in the table.

Using the completed table, students are then asked to calculate the probability of rolling a score of 5 with the two dice. To determine this probability, they would need to identify all the combinations that add up to 5 and then divide that number by the total number of possible outcomes when two dice are rolled. This exercise helps students to visualise and enumerate possible outcomes of a random event, a fundamental concept in understanding and calculating probabilities in mathematics.