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Mathematics

A coin is tossed once. Find the probability of :

(i) getting a tail

(ii) not getting a tail

Probability

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Answer

In a random experiment of tossing coin once, total number of possible outcomes are 2 which are Head (H) and Tail (T)

(i) Favourable outcome is 'getting a tail'.

∴ Number of favourable outcome = 1.

P(getting a tail) = No. of favourable outcomesNo. of possible outcomes=12\dfrac{\text{No. of favourable outcomes}}{\text{No. of possible outcomes}} = \dfrac{1}{2}.

Hence, the probability of getting a tail = 12\dfrac{1}{2}.

(ii) Favourable outcome is 'not getting a tail' or 'we can say getting a head'.

∴ Number of favourable outcome = 1.

P(not getting a tail) = No. of favourable outcomesNo. of possible outcomes=12\dfrac{\text{No. of favourable outcomes}}{\text{No. of possible outcomes}} = \dfrac{1}{2}.

Hence, the probability of not getting a tail = 12\dfrac{1}{2}.

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