4 DICE ARE THROWN AND THE SUM OF THE NUMBERS NOTED IS 10. FIND THE PROBABILITY THAT ALL THE NUMBERS LIE BETWEEN 2 AND 5 (both inclusive)?
Pick:
A) 11/79	B) 10/79	C) 12/79	D) 13/79	E) 14/79
Sum of numbers noted on 4 dice(with six faces) to be 10 will include combinations:   ( 1,1,2,6)(1,1,3,5)(1,1,4,4)(1,1,5,3)(1,1,6,2)(1,2,1,6)(1,2,2,5)(1,2,3,4)(1,2,4,3)(1,2,5,2)(1,2,6,1)(1,3,1,5)(1,3,2,4)(1,3,3,3)(1,3,4,2)(1,3,5,1)(1,4,1,4)(1,4,2,3)(1,4,3,2)(1,4,4,1)(1,5,1,3)(1,5,2,2)(1,5,3,1)(1,6,1,2)(1,6,2,1)   (2,1,1,6)(2,1,2,5)(2,1,3,4)(2,1,4,3)(2,1,5,2)(2,1,6,1)(2,2,1,5)(2,2,2,4)(2,2,3,3)(2,2,4,2)(2,2,5,1)(2,3,1,4)(2,3,2,3)(2,3,3,2)(2,3,4,1)(2,4,1,3)(2,4,2,2)(2,4,3,1)(2,5,1,2)(2,5,2,1)(2,6,1,1)   (3,1,1,5)(3,1,2,4)(3,1,3,3)(3,1,4,2)(3,1,5,1)(3,2,1,4)(3,2,2,3)(3,2,3,2)(3,2,4,1)(3,3,1,3)(3,3,2,2)(3,3,3,1)(3,4,1,2)(3,4,2,1)(3,5,1,1)   (4,1,1,4)(4,1,2,3)(4,1,3,2)(4,1,4,1)(4,2,1,3)(4,2,2,2)(4,2,3,1)(4,3,1,2)(4,3,2,1)(4,4,1,1)   (5,1,1,3)(5,1,2,2)(5,1,3,1)(5,2,1,2)(5,2,2,1)(5,3,1,1)   (6,1,1,2)(6,1,2,1) ------- Total 79   Combinations with all the numbers lie between 2 and 5 are (2,2,2,4)(2,2,3,3)(2,2,4,2)(2,3,2,3)(2,3,3,2)(2,4,2,2)(3,2,2,3)(3,2,3,2)(3,3,2,2)(4,2,2,2) ------Total 10   So probability=10/79   ANSWER:10/79
<result>B</result>
4 DICE ARE THROWN AND THE SUM OF THE NUMBERS NOTED IS 10. FIND THE PROBABILITY THAT ALL THE NUMBERS LIE BETWEEN 2 AND 5 (both inclusive)?