Question

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

Answer 1

1/7776.

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.

Answer 2

`(1)/(7776)`

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).
`(1)/(6)`⁵

Step 1 =
`(1)/(6)` *
`(1)/(6)` *
`(1)/(6)` *
`(1)/(6)`*
`(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
`(1)/(7776)`