"What is the probability of getting a total of 2 when rolling three fair dice?"

Expert Answers

An illustration of the letter 'A' in a speech bubbles

The minimum total you can get when rolling three fair dice is 3, so the probability of getting a sum of 2 is precisely 0 because the event is impossible. The probability of getting a sum greater than 2 is 1 because this is certain.

To be more precise, the probability of two of the dice having a sum of 2 is the probability that one shows a 1 and the other shows a one. This is (1/6)(1/6) = 1/36. However, we also neeed the third dice to show a zero. This probability is 0 because it is impossible. So, getting a 1 and a 1 and a 0 is (1/6)(1/6)(0) = 0

The probability is precisely zero

Approved by eNotes Editorial Team
Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial