A card is drawn from a well shuffled pack of playing cards. What is the probability that it is either a spade or an ace or both?
Open in App
Solution
Let A= getting a spade B= getting an ace A∩B= getting an ace of spade A∪B= getting either a spade or an ace or both =? P(A)=1352=14,P(B)=452=113 P(A∩B)=152
Using addition theorem, P(A∪B)=P(A)+P(B)−P(A∩B) =14+113−152=1652=413.