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

Short Note
Sum

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

#### 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.

Outcomes with atleast two tails are TTH, THT, HTT and TTT.

Number of outcomes with atleast two tails = 4.

∴ P(getting at least two tails) = ("Number of favourable outcomes")/"Number of all possible outcomes"

= 4/8 = 1/2

Thus, the probability of getting at least two tails is 1/2.

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#### APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 15 Probability
Exercise 15B | Q 24.2 | Page 699