Respuesta :
Two dice are rolled.
On rolling a die, there are 6 outcomes.
So, total number of outcomes on rolling two dice = [tex]6^2[/tex]
= 36
Since, the two numbers that come up are different.
So, total outcomes will be 36 minus the numbers who comes up same.
Total number of outcomes that come with same numbers
={(1,1) (2,2), (3,3), (4,4), (5,5) and (6,6)} = 6
So, total number of outcomes = 36-6 = 30
The outcomes with the sum of the two numbers is 4 with the condition that the two numbers that come up are different.=
={(1,3) (3,1)}
So, total number of outcomes with the sum of the two numbers is 4 = 2
SO, Probability = Favorable outcomes [tex]\div[/tex] Total outcomes
Probability = [tex]\frac{2}{30}[/tex]
= [tex]\frac{1}{15}[/tex]
Therefore, the probability that the sum of the two numbers is 4 is 0.07
