Case study·Standard multi-step (3/5)·No calculator

Difficulty guide

The label describes the problem, not your ability.

1/5 - Foundational

Warm-up setup; checks one basic idea.

2/5 - Routine exam skill

Normal syllabus skill; usually one main rule or interpretation.

3/5 - Standard multi-step

Exam-style problem with multiple steps or a common trap.

4/5 - Hard exam skill

High-end exam problem; combines methods carefully.

5/5 - Challenge

Stretch problem beyond normal exam pressure.

Question

A game uses the coin-and-die experiment shown in the table. A player wins if the coin shows Head and the die number is odd, or if the coin shows Tail and the die number is 66.
Total: 4 marks

(a) How many equally likely outcomes are in the sample space? (1 mark)

(b) List the winning outcomes. (2 marks)

(c) Find the probability of winning. (1 mark)

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cbse-math-9.u6.t6-5.case.005

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