Question

Determine the number of possible outcomes when tossing one coin ,two coins ,and three coins then determine the number of possible outcomes for tossing N coins

Answer 1

Number of possible outcome for tossing N coins = 2n

Explanation:

Answer 2

Number of possible outcome for tossing N coins =
`2^N`

Solution:

Possible outcomes when tossing one coin = {H, T}

Number of possible outcomes when tossing one coin = 2
`=2^1`

Possible outcomes when tossing two coins = {HH, HT, TH, TT}

Number of possible outcomes when tossing two coins = 4
`=2^2`

Possible outcomes when tossing three coins

= {HHH, HHT, HTH, THH, TTH, THT, HTT, TTT}

Number of possible outcomes when tossing three coins = 8
`=2^3`

Therefore, the sequence obtained is
`2^1, 2^2, 2^3`.

If continue this sequence, we can obtain number of possible outcome for tossing N coins is
`2^N`.