Question

Two dice are rolled simultaneously. Find the probability that
(i) the sum of the numbers on their upper faces is at the most 5.
(ii) the sum of the numbers on their upper faces is at the least 6.​

Answer 1

Step-by-step explanation:

possible outcomes. =1+1,2+1,1+2,1+3,3+1,4+1,1+4,2+2,2+3,3+2

total no. of outcomes=36

i)P(the sum of no. on the upper face is at the most 5)

=10/36

=5/23

ii) possible outcomes=1+5,1+6, 2+4,2+5,2+6,3+3, 3+4,3+5,3+6,4+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

P(the sum of no. on the upper face is at least 6)=26/36=13/23