Question

Suppose we roll 2 six sided dice as in Video #4 with event A being even,...

Suppose we roll 2 six sided dice as in Video #4 with event A being even, event B being divisible by 3 and event C being less than 5.

What is the probability of a number being divisible by 3 and less than 5?

Question 5 options:

1/2

1/3

4/36

2/36

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

Given that the 2 six sided dice are rolled

The possible outcomes and sum of numbers on both dice for each outcome are given below

Outcome Sum Outcome Sum Outcome Sum
(1,1) 2 (3,1) 4 (5,1) 6
(1,2) 3 (3,2) 5 (5,2) 7
(1,3) 4 (3,3) 6 (5,3) 8
(1,4) 5 (3,4) 7 (5,4) 9
(1,5) 6 (3,5) 8 (5,5) 10
(1,6) 7 (3,6) 9 (5,6) 11
(2,1) 3 (4,1) 5 (6,1) 7
(2,2) 4 (4,2) 6 (6,2) 8
(2,3) 5 (4,3) 7 (6,3) 9
(2,4) 6 (4,4) 8 (6,4) 10
(2,5) 7 (4,5) 9 (6,5) 11
(2,6) 8 (4,6) 10 (6,6) 12

Number of outcomes in which sum is divisible 3 and less than 5 = 2

Total Number of outcomes = 36

So probability of a number (sum here) being divisible by 3 and less than 5 = 2/36

So Answer is Option D

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