Answer:
[tex]= 2^x[/tex]
Step-by-step explanation:
One coin tossed:
Total outcomes = {H,T} =2 [tex]= 2^1[/tex]
Two coins tossed:
Total outcomes :{HH,HT,TH,TT} = 4[tex]= 2^2[/tex]
Three coins are tossed:
Total outcomes : {HHH,HHT, HTT,TTT,THH,TTH,THT,HTH} =8 [tex]= 2^3[/tex]
So, 1 coin tossed [tex]= 2^1[/tex]
2 coins tossed [tex]= 2^2[/tex]
3 coins tossed [tex]= 2^3[/tex]
Continuing in this manner ..
x coins tossed [tex]= 2^x[/tex]
Thus an expression to represent the number of possible outcomes when x coins are tossed : [tex]2^x[/tex]
