Max Maths, Year 6, Learn together, Equally likely outcomes

The "Max Maths, Year 6, Learn together" resource provides an engaging exercise for students to understand the concept of equally likely outcomes and probability. The activity involves completing a table with various scenarios to help students grasp how to calculate the probability of different events. For instance, when rolling an even number on a six-sided die, there are six possible outcomes (1, 2, 3, 4, 5, or 6), but only three of these (2, 4, or 6) are even. Thus, there are three required outcomes, leading to a probability fraction of 3 out of 6, which simplifies to 1/2, and when expressed as a percentage, this equates to 50%. The table continues with other scenarios, such as rolling a total of 9 on two six-sided dice, rolling a number less than 6 on a ten-sided die, picking an 8 or 9 from a pack of cards, and choosing a face card (jack, queen, or king) from the same pack.

The exercise is designed to help Year 6 students apply their understanding of probability to real-life situations involving dice, cards, and other common objects. By filling in the table, they learn to identify the total number of possible outcomes, determine the number of favourable outcomes, and then calculate the probability both as a fraction and as a percentage. This hands-on approach aids in solidifying their comprehension of chance and probability, which are fundamental concepts in mathematics. For further practice and detailed explanations, students are directed to their workbook, specifically page 107, where they can find additional exercises and examples to reinforce their learning.