Q. 365.0( 1 Vote )

A coin is tossed three times, and the outcomes are recorded. How many possible outcomes are there? How many possible outcomes if the coin is tossed four times? Five times? N times?

Answer :

We have to find the number of total outcomes when a coin is tossed three times, the outcomes can be different and can be the same.

We will use the concept of multiplication because there are three sub jobs dependent on each other and one job is performed one after the other.


The choices of outcomes from one coin when flipped once are two; the coin is flipped three times, so each time the number of outcomes will be two.


The number of outcomes which are formed when a coin is flipped thrice, one after the other, are 2 × 2 × 2 = 23 = 8


The number of outcomes which are formed when a coin is flipped four times, one after the other, are 2 × 2 × 2 × 2 = 24 = 16


The number of outcomes which are formed when a coin is flipped five times, one after the other, are 2 × 2 × 2 × 2 × 2 = 25 = 32


The number of outcomes which are formed when a coin is flipped n times, one after the other, are 2 × 2 × 2………….till n times…… × 2 = 2n


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