Mathematics

A coin is tossed once.
(i) Describe the sample space S.
(ii) Find the probability of getting a tail.

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(i) When a coin is tossed, we get either Head (H) or Tail (T).

∴ Sample space (S) = {H, T}

⇒ n(S) = 2

Hence, sample space = {H, T}.

(ii) Let E be the event of getting a tail.

Then, E = {T}

⇒ n(E) = 1

∴ P(getting a tail) = $\dfrac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} = \dfrac{1}{2}$

Hence, probability of getting a tail $\dfrac{1}{2}$ .

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