Three dice are thrown together. Find the probability of getting a total of at least 6.
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → $\frac{103}{108}$
If three dice are thrown, total sample space =216
The event of getting the sum less
than 6 =1,1,1,1,1,2,1,2,1,2,1,1,1,2,2,2,2,1,2,1,2,1,1,3,3,1,1,1,3,1
Since the number of outcomes, in which the sum less than 6 is 10.
The probability of getting a total less than 6 =10 / 216
Therefore, the probability of getting a total of atleast 6 =1-10/216
The probability of getting a total of atleast 6 =103/108
Hence option D is the correct option.