15 points: the probability of rolling a 6 on a number cube is 1/6. the probability of rolling a 6 twice is (1/6)^2= 1/36. a.) write an expression that represents the probability of rolling 6 n times in a row.

b.) what is the probability of rolling a 6 five times in a row?

c.) what is the probability of flipping heads on a coin five times in a row?

a) The probability of rolling a 6 n times is .

b) The probability of rolling a 6 five times in a row  

c) The Probability of flipping heads on a coin five times in a row

Step-by-step explanation:

Given : The probability of rolling a 6 on a number cube is .

The probability of rolling a 6 twice is .

To find :

a.) Write an expression that represents the probability of rolling 6 n times in a row.

The probability of rolling a 6 on a number cube is .

The probability of rolling a 6 twice is .

So,The probability of rolling a 6 n times is .

b.) What is the probability of rolling a 6 five times in a row?  

Substitute n=5 in part (a)

c.) What is the probability of flipping heads on a coin five times in a row?

Coin has two sides

Probability of getting heads is .

Probability of flipping heads on a coin five times in a row

multiplication is multiplication.   it might feel harder depending on what level of math you are in, but generally it will be the same old stuff, while implementing some new concepts and methods of solving work.