Lesson Plans SET B for Grades 5-6-Homework Level 5-6 Lesson 8- Set B- Statistics & Probability

Homework Level 5-6 Lesson 8- Set B- Statistics & Probability

Pdf Summary

This homework set for Math Kangaroo Class Level 5-6 focuses on statistics and probability with five problems to solve:<br /><br />1. **Coin Flipping Problem**: The task is to determine the minimum number of flips required to either get 5 heads or 3 tails. The answer to this is 7 flips, guaranteeing that either condition is met due to the constraints of binary outcomes in each flip and probabilistic accumulation toward the goal.<br /><br />2. **Marble Distribution Problem**: There are 21 marbles in five colors, with a given hierarchy of quantities: blue > yellow > black > green > red. With 5 black marbles and at least one marble per color, the solution calculates the number of green marbles to be 2, based on the systematic deduction from given relationships and total number constraints.<br /><br />3. **Car Behind a Door Problem**: Four doors each have a sentence; the task is identifying behind which door the car is, based on exactly two true sentences. The answer is that the car is behind Door 1, which requires logical analysis of the truth values concerning all sentences to satisfy the condition given.<br /><br />4. **Integer Products Problem**: The goal is to find how many different sums can be created by three positive integers whose product is 12. The result is 4, derived from enumerating the distinct sets of integer factor triplets and summing each combination.<br /><br />5. **List Analysis Problem**: Given a list of five numbers — 1, 9, 14, 20, and a variable ??— with the mean equalling the median, find the sum of all possible values for ??. The solution yields a sum of 38 when calculating such values to meet the condition, balancing both statistical measures of the set.<br /><br />Overall, the problems involve a mix of logical reasoning, methodical enumeration, and fundamental arithmetic principles to solve them efficiently.

Keywords

Math Kangaroo

Level 5-6

statistics

probability

coin flipping

marble distribution

logical analysis

integer products

list analysis

arithmetic principles