i) Two dice are rolled simultaneously. Find the probability (a) of event A that thesum of the digits on the upper faces is a prime number. (b) of event B that the sumof the digits on the upper faces is a multiple of 5. About the author Madeline
Step-by-step explanation: 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)} n(S)=36 A={(1,1),(1,2),(1,4),(1,6),(2,1),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2),(5,6),(6,1),(6,5)} n(A)=15 p(A)=15/36 B={(1,4),(2,3),(3,2),(4,1),(4,6),(5,5),(6,4)} n(B)=7 p(B)=7/36 Reply
Step-by-step explanation:
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)}
n(S)=36
A={(1,1),(1,2),(1,4),(1,6),(2,1),(2,3),(2,5),(3,2),(3,4),(4,1),(4,3),(5,2),(5,6),(6,1),(6,5)}
n(A)=15
p(A)=15/36
B={(1,4),(2,3),(3,2),(4,1),(4,6),(5,5),(6,4)}
n(B)=7
p(B)=7/36