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List the elements of a sample space for the simultaneous tossing of a coin and drawing of a card from a set of 6 cards numbered 1 through 6.

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A coin has outcomes {H, T} and the cards have numbers {1, 2, 3, 4, 5, 6}. The complete sample space consists of 12 pairs: S = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}.

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  1. The experiment involves two simultaneous random actions:

    1. Tossing a coin gives 2 possible outcomes: Heads (H) or Tails (T).
    2. Drawing a card from numbers 1 to 6 gives 6 possible outcomes: {1, 2, 3, 4, 5, 6}. Combining each coin outcome with each card number gives a sample space with 2 x 6 = 12 elements: S = {(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6), (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)}.

     

    For more NCERT Solutions of Class 9 Ganita Manjari Chapter 7 The Mathematics of Maybe: Introduction to Probability Question Answer (2026-27)

    https://www.tiwariacademy.com/ncert-solutions/class-9/maths/ganita-manjari-chapter-7/

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