Question

We have two dice. One is fair and the other is biased. The biased die is weighted to land on 6 every 1 of 36 rolls. There is an equal probability for all of the other five faces on the biased die. Without knowing which one we are choosing, we pick one of the dice, roll it, and get a 6 . What is the probability that we roll the fair die?

Name: we have two dice one is fair and the other is biased the biased die is weighted to land on 6 every 1 of 36 rolls there is an equal probability for all of the other five faces on the biased d 17138
Uploaded: 2021-10-16T00:26:18-08:00
Duration: 2 min 58 s
Channel: David Nguyen
Description: we have two dice one is fair and the other is biased the biased die is weighted to land on 6 every 1 of 36 rolls there is an equal probability for all of the other five faces on the biased d 17138

          We have two dice. One is fair and the other is biased. The
biased die is weighted to land on 6 every 1 of  36 rolls.
There is an equal probability for all of the other five faces on
the biased die. Without knowing which one we are choosing, we pick
one of the dice, roll it, and get a 6 . What is the probability
that we roll the fair die?

Added by Chelsea A.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert David Nguyen

10/16/2021

Step 1

Step 1: Calculate the probability of rolling a 6 with the fair die: The probability of rolling a 6 with the fair die is 1/6. Show more…

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We have two dice. One is fair and the other is biased. The biased die is weighted to land on 6 every 1 of 36 rolls. There is an equal probability for all of the other five faces on the biased die. Without knowing which one we are choosing, we pick one of the dice, roll it, and get a 6 . What is the probability that we roll the fair die?