Alg1231W10T3 - Rolling the dice

Friday, 28 September 2018

2:39 PM

If we roll two dice the total is a number from 2 to 12 - but they don't have the same probabilities. The probability of a 2 (or 12) is — since only one of the 36 6 x 6 = 36 possible rolls result in a 2 (or 12). However the probability of a 3 is since we can obtain 3 by either rolling 1 + 2 or 2 + 1. Fill in the rest of the table: 10 11 12 3/36 4/36 5/36 6/36 5/36 4/36 3/36 2/36

 

What is the probability of getting one even number and one odd number when you roll two dice? 1/2

 

What is the probability of getting two distinct numbers if you roll two dice? 30/36

 

What is the probability Of getting a total between 5 and 7 if you roll two dice? Note: here between means we include the end points. 15/36

 

What is the probability of getting a total of at most 1 from rolling three dice? What is the probability Of getting a total Of at most 2 from rolling three dice? What is the probability of getting a total of at most 3 from rolling three dice? What is the probability Of getting a total Of at most 4 from rolling three dice? What is the probability of getting a total of at most 5 from rolling three dice? What is the probability Of getting a total Of at most 6 from rolling three dice? Note: your answers should be entered as exact rational numbers. 1/216 4/216 10/216 20/216

 

 

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