Two dices were thrown simultaneously . What is the probability that the sum of the two numbers appearing on the top of the dice is less than 10 and is not divisible by 3 or 5 ? Share with your friends Share 0 Atul Shaw answered this Dear student,Total outcomes when two dices are thrown=36=n(S)Events when sum of two number is less than 10 (A):{(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); (5,1); (5,2); (5,3); (5,4);(6,1); (6,2); (6,3)}n(A)=30Event when sum of two numbers is not divisible by 3 or 5(B):{(1,1); (1,3); (1,6); (2,2); (2,5); (2,6);(3,1); (3,4); (3,5); (4,3); (4,4); (5,2); (5,3); (5,6); (6,1); (6,2); (6,5)}n(B)=17A∩B:{(1,1); (1,3); (1,6); (2,2); (2,5); (2,6);(3,1); (3,4); (3,5); (4,3); (4,4); (5,2); (5,3); (6,1); (6,2)}n(A∩B)=15P(A)=n(A)n(S)=3036P(B)=n(B)n(S)=1736P(A∩B)=n(A∩B)n(S)=1536P(A∪B)=P(A)+P(B)+P(A∩B)=3036+1736-1536=3236=89Regards 0 View Full Answer