While staying in a 15-story hotel, polya plays the following game. she enters an elevator on the 6th floor. she flips a fair coin five times to determine her next five stops. each time she flips "heads, " she goes up one floor. each time she flips "tails, " she goes down one floor. what is the probability that each of her next five stops is on the 7th floor or higher? express your answer as a common fraction.

The probability is

Step-by-step explanation:

We are going to modeled this problem from the number of heads.

Let be H : ''The number of heads after five flips''

H can assume the following values :

h = 0

h = 1

h = 2

h = 3

h = 4

h = 5

H ~ Bi (n,p)

H ~ Bi (5,0.5)

H can be modeled as a Binomial random variable.

In which p = 0.5 is the success probability (the probability of head in one flip of a fair coin)

n = 5 is the number of times that we flip the coin.

We are also assuming independence in each flip.

The probability function for H is

For all the possible values of H

H ≥ 3 is the event that puts Polya on the 7th floor or higher.

Now we calculate the probability of H ≥ 3

Therefore, the probability of each of her next five stops is on the 7th floor or higher is

↓↓↓↓↓↓↓↓↓

step-by-step explanation:

this is a parabola.

-3(b-8)-5=9(b+2)+1

distribute

-3b+24-5=9b+18+1

add/ subtract

-3b+20=9b+19

20-19= 1

-3b+1=9b

9b+3b= 12b

1=12b

1 divided by 12 = 1/12

answer: 1/12 = b