If i flip a coin 4 times what is the probability of one tail

Salutations!

Probability means occurrence of chance.

You have two sides in a coin: heads and tails.

so when you flip the coin 4 times the probability on getting one tail is one. If you had to find the probability of 2 tails then the answer would be .

P = (of one tail) = 

It cannot be simplified further, as it is in its simplest form already.

Hope I helped (:

Have a great day!

a) The axis of symmetry is the line, y = 2

b)  The vertex  of a parabola is (-3, 2)

c) The focus of the parabola is (0, 2)

d) The directrix of a parabola is, x = -6

e) Please find attached the graph of the parabola

Step-by-step explanation:

a) The function for the parabola can be expressed as follows;

12·(x + 3) = (y - 2)²

The general form of the equation of the parabola is x = a·(y - k)² + h

The axis of symmetry is the line, y = k

By comparison, with the given equation of the parabola, we have;

12·(x + 3) = (y - 2)²

x = (1/12)·(y - 2)² - 3

Therefore;

a = (1/12), k = 2, h = -3

The axis of symmetry is y = k

∴ The axis of symmetry is the line, y = 2

b) The vertex  of a parabola = (h, k)

∴ The vertex  of a parabola = (-3, 2)

c) The focus of a parabola is

Therefore, the focus of the parabola is = (0, 2)

The focus of the parabola = (0, 2)

d) The directrix of a parabola is

The directrix of a parabola is, x = -6

e) Please find attached the graph of the parabola, showing the vertex, focus, directrix, and axis of symmetry, created with Microsoft Excel