UNEB | UCE MATHEMATICS 2025 ITEM 3 SOLVED | Matrices and Probability

Make sure you’ve already watched Item 1 and Item 2—each question builds your exam confidence step by step. 👉 Watch here: 🔹 Item 1:    • UNEB | UCE Mathematics 2025 Item 1 | Step-...   🔹 Item 2:    • UNEB | UCE Mathematics 2025 Item 2 | Step-...   UCE Mathematics 2025 – Item 3 full solution explained step by step. In this lesson, we solve the matrix and probability question done by Senior Four candidates in the 2025 UNEB paper. Learn how to arrange data in matrix form, multiply matrices correctly, calculate totals, and find probability for coin-toss outcomes. Watch till the end to avoid the common mistakes students make in this question. 🔹 Clear explanation of part (a), (b) and (c) 🔹 Real UNEB question (2025 UCE Mathematics Paper) 🔹 Includes common errors and how to avoid them 🔹 Ideal for Senior Four, teachers, and UNEB revision 👉 Subscribe to TV Mathshub – your home for clear and practical mathematics learning. Subscribing is free and helps support this work. Chapters 00:00 Introduction to TV Mathshub 00:22 Greeting and quick recap of Items 1 and 2 01:05 Reminder to check previous videos and subscribe 01:38 Reading the full question for Item 3 03:00 Explaining the real-life context of the question 04:10 Identifying the key information given in the problem 05:05 Step 1: Listing quantities for Moses and Sarah 06:12 Common mistake: mixing up rows and columns 07:20 Step 2: Introducing matrices — clear definition 08:30 Explaining what rows and columns represent here 09:25 Writing the quantity matrix (Q) in correct order 10:40 Step 3: Constructing the price matrix (P) 11:30 Explaining why prices are arranged vertically 12:18 Common mistake: wrong matrix order (Q × P or P × Q) 13:45 Checking matrix compatibility before multiplication 15:10 Multiplying the matrices step by step 16:55 Showing detailed calculation for Moses 18:10 Showing detailed calculation for Sarah 19:35 Comparing results and interpretation 20:20 Part (a) conclusion — summary of organized information 21:05 Transition to part (b) 21:45 Step 4: Calculating total expected money from each worker 23:10 Explaining how to interpret the totals 24:05 Writing the result neatly in table form 25:00 Common error: wrong units or mislabelled totals 26:15 Step 5: Moving to probability part (c) 27:00 Reading the probability question carefully 28:10 Explaining sample space for tossing two coins 29:15 Listing all possible outcomes (HH, HT, TH, TT) 30:20 Explaining the condition: “at least one head” 31:10 Counting outcomes where Moses is selected 32:15 Counting outcomes where Sarah is selected 33:00 Calculating the probabilities for each worker 34:10 Common student confusion: interpreting “at least one head” 35:20 Stating final probabilities clearly 36:00 Identifying worker with higher chance (Moses) 37:00 Final interpretation and reasoning summary 38:15 Teacher’s tip: how to avoid errors in matrices and probability 39:10 Outro — recap of all key points 39:40 Reminder to subscribe, like, and check other solved items 40:00 End screen and thank you message Get vidIQ to grow your channel faster! 🚀 https://vidiq.com/TVMATHSHUB