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A Game Consists of Tossing a One-rupee Coin Three Times, and Noting Its Outcome Each Time. Find the Probability of Getting Three Heads. - Mathematics

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Question

A game consists of tossing a one-rupee coin three times, and noting its outcome each time. Find the probability of getting three heads.

Short Note

Solution

When a coin is tossed three times, all possible outcomes are
HHH, HHT, HTH, THH, HTT, THT, TTH and TTT.

Number of total outcomes = 8.

Outcome with three heads is HHH.

Number of outcomes with three heads = 1.

∴ P(getting three heads) =`("Number of favourable outcomes")/"Number of all possible outcomes"`

`= 1/8`

Thus, the probability of getting three heads is `1/8`.

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Chapter 15: Probability - Exercise 15B [Page 699]

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RS Aggarwal Mathematics [English] Class 10
Chapter 15 Probability
Exercise 15B | Q 24.1 | Page 699

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