Answer with explanation:
⇒Total Possible outcome when a dice is thrown twice =6²=36
={(1,1),(2,2),(3,3),(4,4),(5,5),(6,6),(1,2),(1,3),(1,4),(1,5),(1,6),(2,3),(2,4).......(6,5)}
→Total Favorable Outcome = Sum of the Number on the dice should be greater than or equal to 8 and one of the dice must show 6.
→A =Sum of the two numbers on the dice should be ,8, 9,10,11,12.
={(4,4),(5,3),(3,5),(6,2),(2,6),(6,3),(3,6),(5,4),(4,5),(5,5),(4,6),(6,4),(6,5),(5,6),(6,6)}
=15
→B={(6,2),(2,6),(6,3),(3,6),(4,6),(6,4),(6,5),(5,6),(6,6)}
→A ∩ B=B
Total Favorable Outcome ={(6,2),(2,6),(6,3),(3,6),(4,6),(6,4),(6,5),(5,6),(6,6)}=9
Required Probability