A coin returns heads with probability 1 3 . You keep flipping the coin until the most recent flips is heads and the two immediately preceding flips were tails (that is you stop flipping the coin until the pattern T, T,H appears). Let Y denote the number of flips made. Compute E[Y ].

E(Y) = 1.666667

Step-by-step explanation:

By E(Y), we mean the expected value of Y. This is given as:

E(Y) = ,

Where F is the frequency.

As given:

The sample space (S) = {T,T,H}

And has a probability of:

H = 1/3

T = 2/3.

Frequency:

H = 1

T = 2.

Thus,

E(Y) = 1*(1/3) + 2*(2/3)

E(Y) = 1.666667.

where are the choices?

the answer for this question is : 360°

step-by-step explanation:

we have been given a triangle   we need to tell which one of these is a triangle below to map onto itself.

360° rotation is the complete rotation which eventually leads to the same figure which is given.

the correct will be, that is 360° that will cause the triangle below to map onto itself.