Question

what is the probability of rolling 6 five times in a row? Write your answer as a fraction in simplest form.

Answer 1

Answer:

$\frac{1}{7776}$

Step-by-step explanation:

So , if you read the question clearly  it says  "probability of rolling "6" 5 times

what that tells you is that in a simple term is that , How many possible outcomes are there if you roll a dice 5 times to land on 6s: 6 outcomes per dice raised to the power of 5 (dice). $\frac{1}{6}$⁵

Step 1 = $\frac{1}{6}$ * $\frac{1}{6}$ * $\frac{1}{6}$ * $\frac{1}{6}$* $\frac{1}{6}$

Step 2 = multiply all the nominators 1*1*1*1*1 = 1

Step 3 = multiply all the denominators 6*6*6*6*6 = 7776

Final Answer = There are 7776 equally possible outcomes

Therefore, the probability of rolling 6 five times in a row is $\frac{1}{7776}$

Answer 2

Answer:

1/7776.

Step-by-step explanation:

The probability of rolling a six in 1 throw = 1/6.

Rolling   a 6 5 times in a row = (1/6)^5

= 1/7776.

The probability is multiplied because each roll is independent from other rolls.