Question

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

Answer 1

Since a toss of a coin can result in a head or a tail.
$\therefore$ Total number of possible outcomes in four tosssed = 2
$\therefore$ Total number of possible outcome in four tossed = $2\times 2\times 2=2^3=8$ $\therefore$ Total number of possible outcome in four tossed = $2\times 2\times 2\times 2=2^4=16$
$\therefore$ Total number of possible outcomes in five tossed = $2\times 2\times 2\times 2\times 2=2^5=32$
$\therefore$ Total number of possible outcomes in n tossed = $2\times 2\times 2=n=2n$