What is the probability of rolling at least one "1"

Amiya Arellano

Amiya Arellano

Answered question

2022-02-12

What is the probability of rolling at least one "1" if you roll a six-sided dice six times?

Answer & Explanation

Janessa Oneill

Janessa Oneill

Beginner2022-02-13Added 10 answers

Step 1
The probability of rolling at least one "1" if you roll a dice six times is the same as 1 minus the probability of rolling zero 1s if you roll a dice six times.
The probability of not rolling a 1 if you roll a dice once is 56.
The probability of not rolling a 1 if you a roll a dice twice is
56×56
And so on... the probability of not rolling a 1 if you roll a dice six times is
56×56×56×56×56×56×56
Another way to write this is (56)6
The answer here is 0.335.
So, the probability of rolling at least one 1 in six rolls of a dice is
10.335=0.665

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