You flip a fair coin until you see three tails in a row. What is the average number of headsthat you’ll see until gettingTTT?

14

Step-by-step explanation:

From the given information:

suppose, Y is the number of times a coin is being flipped.

If the coin is flipped for the first time and we get H, then we have:

TTT =

Afterward, if we get H, then we waste two times plus the probability of this event .

Therefore, we have :

Afterward, if we get H, then we waste three times plus the probability of this event .

Therefore, we have :

If we got T at the third time, then;

T =

Thus, average number of headsthat you’ll see until gettingTTT can be expressed as:

= 14

a) t'(-3, 6) and v'(0, 3)  

step-by-step explanation:

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.