In everyday language people often mix up the ideas of events that must happen

MATHEMATICS · Multi-part · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

In everyday language people often mix up the ideas of events that must happen, may happen, or can never happen. Consider the statements below and answer the questions that follow: (i) A weather bulletin says, “Tomorrow it will either rain or not rain in Delhi.” Identify whether the described event is sure, impossible or neither. Give a reason. (ii) A friend claims, “I will roll a standard dice tomorrow and get a number larger than 10.” Classify this event with reason. (iii) Explain clearly what is meant by ‘equally likely outcomes’ using the example of tossing a fair coin. (iv) Distinguish between an impossible event and a sure event by writing two differences other than the value of their probabilities.

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