Case Study questions on probability Class 8 with solutions

Case Study questions on probability Class 8 with solutions

The mathematics club set up a combined activity called **”Lucky Deck and Dice Station”** to study how probability works when two different simple events happen together. In each trial a student first draws one card at random from a **standard 52-card deck** (which has four suits: hearts, diamonds, clubs, spades; each suit has 13 cards). After returning the card and reshuffling, the student rolls one **fair six-sided die**. Students recorded results for many trials and used the activity to learn about **single-event probability** (for example the chance of drawing a heart or a face card) and **combined events** (for example drawing a card of a given suit and rolling a number in a given range). They discussed **independence of events** (drawing a card after reshuffling does not change the die result) and how expected counts help plan prizes or class experiments. The teacher also asked them to think how such simple experiments relate to risk analysis in games and simple forecasting: when two independent conditions are both needed, the chance becomes smaller, and when one condition is given (a condition known to have occurred), the probabilities for the remaining outcomes change. Students used both theoretical calculation and comparison with experimental results to deepen understanding.