Answered

Get the answers you've been looking for with the help of IDNLearn.com's expert community. Get step-by-step guidance for all your technical questions from our knowledgeable community members.

If you roll a dice four times, what is the chance that you roll a 2?

Sagot :

Sqdancefanidn

Answer:

  about 51.77%

Step-by-step explanation:

The probability you will roll a 2 is the complement of the probability you will not roll a 2.

__

p(no 2)

A die has 6 faces, one of which is labeled with 2. The probability of rolling a 2 on any given roll is 1/6, so is 1-1/6 = 5/6 that a 2 will not be rolled. Sequential rolls of the die are presumed to be independent, so the probability of 4 rolls not showing a 2 at any time is ...

  p(no 2) = (5/6)^4 = 625/1296

p(2)

The probability that at least one 2 will show up on at least one roll is the complement of this value:

  p(some 2) = 1 -625/1296 = 671/1296 ≈ 0.517747

The chance you will roll at least one 2 is about 51.77%.

We appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for trusting IDNLearn.com. We’re dedicated to providing accurate answers, so visit us again for more solutions.