Probability of rolling a sum of 6 with two dice?
Answer: The probability of rolling a sum of 6 with two dice is 5/36.
Let's solve this step by step.
We know, the probability of an event = Favorable outcomes / Total outcomes.
In a case of two dices,
Total outcomes = 6 × 6 = 36
A.T. Q favorable outcome is a sum of 6,
Ways of obtaining a sum of 6
(1,5), (5,1), (2,4),(4,2) and (3,3). Thus, there are 5 ways in which 6 can be obtained using two dices.
Therefore, required probability (P),
P = 5/ 36
Hence, the probability of rolling a sum of 6 with two dice is 5/36.