39 votes 39 votes Four fair six-sided dice are rolled. The probability that the sum of the results being $22$ is $\dfrac{X}{1296}$. The value of $X$ is _______ Probability gatecse-2014-set1 probability numerical-answers normal + – go_editor asked Sep 28, 2014 • edited Dec 3, 2017 by pavan singh go_editor 8.9k views answer comment Share Follow See 1 comment See all 1 1 comment reply neel19 commented Sep 13, 2022 reply Follow Share Using IEP method. 1 votes 1 votes Please log in or register to add a comment.
–1 votes –1 votes Why we r not thinking this way - (6,6,6,4) OR (6,6,5,5) So probability will be: (1/6 * 1/6 * 1/6 * 1/6) + (1/6 * 1/6 * 1/6 * 1/6) = 2/1296 So, value of X is 2 Saumya answered Nov 1, 2014 Saumya comment Share Follow See 1 comment See all 1 1 comment reply Arjun commented Nov 1, 2014 reply Follow Share 6 6 6 4 can occur in 4C3 = 4 ways. (6,6,6,4), (6,6,4,6), (6,4,6,6), and (4,6,6,6) Similarly, 6,6,5,5 can occur in 4C2 = 6 ways So, 6+4 = 10. 11 votes 11 votes Please log in or register to add a comment.