Question

Suppose x coins are tossed. Write an expression to represent the number of possible outcomes.

Answer 1

Answer:

$= 2^x$

Step-by-step explanation:

One coin tossed:

Total outcomes = {H,T} =2 $= 2^1$

Two coins tossed:

Total outcomes :{HH,HT,TH,TT} = 4$= 2^2$

Three coins are tossed:

Total outcomes : {HHH,HHT, HTT,TTT,THH,TTH,THT,HTH} =8  $= 2^3$

So, 1 coin tossed $= 2^1$

      2 coins tossed $= 2^2$

      3 coins tossed $= 2^3$

Continuing in this manner ..

      x coins tossed $= 2^x$

Thus an expression to represent the number of possible outcomes when x coins are tossed : $2^x$

Answer 2

We know that one coin has 2 sides, this makes it so the expression is 2 multiplied by x, or 2x