Question

wo dice are thrown find the probability of getting (i)The sum of the number on their upper faces is at least 10. (ii)The sum of the numbers on their upper faces is 13. (iii) The sum of the number on their upper faces is divisible by 5.

Answer 1

Answer:

sample space (s) =(1,1)(1,2)(1,3)(1,4)(1,5)(1,6)

(2,1)(2,2)(2,3)(2,4)(2,5)(2,6)

(3,1)(3,2)(3,3)(3,4)(3,5)(3,6)

(4,1)(4,2)(4,3)(4,4)(4,5)(4,6)

(5,1)(5,2)(5,3)(5,4)(5,5)(5,6)

(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)

then total outcomes. n(s) =36

(i).)The sum of the number on their upper faces is at least 10.

Event A = (4,6)(5,5)(6,4)(5,6)(6,5)(6,6)

then P(a)=6/36=1/6

(ii) The sum of the numbers on their upper faces is 13.

Event A=0

then p(A) =0/36=0

(iii)The sum of the number on their upper faces is divisible by 5.

Event A=(1,4)(2,3)(3,2)(4,1)(4,6)(5,5)(6,4)

than p(a)=7/36