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A coin and a die are tossed simultaneously. Enumerate the sample space and the following event. C: Getting a head and a perfect square. - Mathematics and Statistics

Sum

A coin and a die are tossed simultaneously. Enumerate the sample space and the following event.

C: Getting a head and a perfect square.

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Solution

When a coin and a die are tossed simultaneously, the sample space S is given by

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)}

C ≡ event of getting a head and a perfect square

∴ C = {(H, 1), (H, 4)}

Concept: Basic Terminologies
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