Grade 8 Probability

What we verified before publishing

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The following claims were verified through Perplexity Sonar before the questions were finalised. The host can reference any of them during play:

• Probability is the branch of mathematics that deals with the likelihood or chance of an event occurring, measured from 0 (impossible) to 1 (certain).
• An experiment in probability is any process that leads to well-defined measurable results, such as flipping a coin, rolling a die, or picking a card from a standard deck.
• An outcome is a single result from a probability experiment, for example, rolling a 3 on a die or getting 'heads' on a flipped coin.
• The sample space is the set of all possible outcomes in an experiment, often denoted by the letter S.
• An event is any subset of the sample space, representing one outcome or a group of outcomes satisfying a specific condition.
• Theoretical probability is calculated using the formula P(E) = (Number of Favorable Outcomes) / (Total Number of Possible Outcomes) when all outcomes are equally likely.
• Experimental probability is determined by collecting data from repeated experiments and observing the fraction of times a specific outcome occurs.
• The sum of the probabilities of all possible outcomes in a sample space always equals 1 (or 100%).
• A standard six-sided die cannot roll an 8, making the probability of that event exactly 0.
• When flipping a fair coin, the probability of getting 'heads' is 1/2, 0.5, or 50%.
• In a standard deck of 52 cards, there are 4 suits, meaning the probability of drawing a specific suit is 4/52 or 1/13.
• Compound events involve two or more simple experiments, and their probability can be analyzed using tree diagrams or tables.