NCERT Class XI Mathematics - Probability - Solutions
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Question : 16
Total: 54
A die is thrown repeatedly until a six comes up. What is the sample space for this experiment.
Solution:
An experiment consists of rolling a die.
∴ Sample space = {6, (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (1, 1, 6), (1, 2, 6), (1, 3, 6), ..., (1, 5, 6), (2, 1, 6), (2, 2, 6), ..., (2, 5, 6), ..., (5, 1, 6), (5, 2, 6), ...}.
∴ Sample space = {6, (1, 6), (2, 6), (3, 6), (4, 6), (5, 6), (1, 1, 6), (1, 2, 6), (1, 3, 6), ..., (1, 5, 6), (2, 1, 6), (2, 2, 6), ..., (2, 5, 6), ..., (5, 1, 6), (5, 2, 6), ...}.
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