Max Maths, Year 6, Work Book, Equally likely outcomes

In the Max Maths Year 6 Workbook, Practice 6 delves into the concept of probability, specifically focusing on equally likely outcomes. Students are tasked with completing a table that helps them understand and calculate the probability of various events. The first event involves picking a 3, 4, or 5 from a standard pack of cards. To find the probability, students must consider the number of cards that match the chosen outcome and the total number of cards in the pack. The probability fraction is then expressed as the ratio of the chosen outcome to the total possible outcomes.

Further exercises require students to explore probability in different contexts, such as rolling dice. One scenario asks for the probability of rolling an odd number on a 10-sided die, where students need to count the odd numbers possible (1, 3, 5, 7, 9) and then place this against the total number of sides on the die. Another task involves rolling two 6-sided dice and determining the probability of an even total, which requires students to list all possible combinations and count those with even sums. Lastly, they must calculate the likelihood of rolling a total less than 5 on two 6-sided dice, again identifying all combinations that meet this criterion. By working through these problems, students gain a practical understanding of how to calculate probability fractions for various events.