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

Respuesta :

Number of possible outcome for tossing N coins = [tex]2^N[/tex]

Solution:

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

Number of possible outcomes when tossing one coin = 2 [tex]=2^1[/tex]

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

Number of possible outcomes when tossing two coins = 4 [tex]=2^2[/tex]

Possible outcomes when tossing three coins

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

Number of possible outcomes when tossing three coins = 8 [tex]=2^3[/tex]

Therefore, the sequence obtained is [tex]2^1, 2^2, 2^3[/tex].

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

Answer:

Number of possible outcome for tossing N coins = 2n

Step-by-step explanation: