Respuesta :
The probability that the sum of the numbers on two dice is even when they are rolled is 0.50.
When 2 dice are rolled, the sum of the numbers on the 2 dice can be as small as 1 + 1 = 2 and as big as 6 + 6 = 12.
Hence, the sum can come as 2, 3, 4,5, 6, 7, 8, 9, 10, 11, and 12.
2 can come only once as, 1+1 = 2
3 can come twice as, 1+2 and 2+1
4 can come thrice as 1+3, 2+2, 3+1
5 can come 4 times as 1+4, 2+3, 3+2, 4+1
6 can come 5 times as 1+5, 2+4 , 3+3, 4+2, 5+1
7 can come 6 times as 1+6 , 2+5 ,3+4, 4+3, 5+2, 6+1
8 can come 5 times as 2+6, 3+5, 4+4, 5+3, 6+2
9 can come 4 times as 3+6, 4+5, 5+4, 6+3
10 can come thrice as 4+6, 5+5, 6+4
11 can come twice as 5+6, 6+5
12 can come only once as 6+6
Hence, the total number of even observations are:-
1+3+5+5+3+1 = 18
The total number of observations are 6*6 = 36
We know that,
Probability = Sum of possible observations/Total number of observations
Here,
Sum of possible observations = number of even observations = 18
Total number of observations = 36
Hence,
Probability = 18/36 = 1/2 = 0.5
To learn more about probability, here:-
https://brainly.com/question/11234923
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