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

Question

asked Dec 9, 2021 187k views

2 Answers

Thomas Read · Answer 1 · 2021-12-13T14:41:04+0000

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 .