The table shows the outcomes of rolling two number cubes at the same time and finding the product of the two numbers. What is the theoretical probability of rolling a product greater than 10?
Answers
Given : outcomes of rolling two number Dice at the same time and finding the product of the two numbers
To find : theoretical probability of rolling a product greater than 10
Solution:
Two Dice rolled hence total possible outputs = 36
as each dice has number 1 to 6
Product Event number of Event
1 ( 1 , 1 ) 1
2 (1,2) , ( 2, 1) 2
3 (1 , 3) , ( 3 , 1) 2
4 (1 ,4 ) , (2 , 2) ( 4, 1) 3
5 (1 , 5) , ( 5 , 1) 2
6 ( 1 , 6) , ( 2 , 3) , ( 3, 2) , ( 6, 1) 4
8 ( 2, 4 ) , ( 4, 2) 2
9 ( 3, 3) 1
10 (2 , 5) , ( 5, 2) 2
12 (2 , 6) , ( 3 , 4) , ( 4, 3) , (6 , 2) 4
15 (3 ,5) , ( 5 , 3) 2
16 ( 4, 4) 1
18 (3 , 6) , ( 6, 3) 2
20 (4 ,5 ) , ( 5, 4) 2
24 (4 , 6) , ( 6, 4) 2
25 (5 , 5) 1
30 (5 ,6 ) , ( 6, 5) 2
36 ( 6, 6 ) 1
rolling a product greater than 10
= Rolling product 12 , 15 , 16 , 18 , 20 , 24 , 25 , 30 , 36
n(E) = 17
probability of rolling a product greater than 10 = 17/36
17/36 is theoretical probability of rolling a product greater than 10
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Answer:
b
Step-by-step explanation: