(a) ( (13/52)^2 = (1/4)^2 = 1/16 ) (b) Complement: neither is heart → ( (3/4)^2 = 9/16 ) → ( 1 - 9/16 = 7/16 ).
Two cards are drawn from a standard deck with replacement . (a) Find ( P(\text{both are hearts}) ) (b) Find ( P(\text{at least one heart}) ) ap statistics quiz 5.1 answer key
(a) ( S = {1,2,3,4,5,6} ) (b) ( P(5 \text{ or } 6) = 2/6 = 1/3 ) (c) Even: {2,4,6}, >4: {5,6}, union: {2,4,5,6} → ( 4/6 = 2/3 ). Check: ( P(A)+P(B)-P(A\cap B) = 3/6 + 2/6 - 1/6 = 4/6 ). (a) ( (13/52)^2 = (1/4)^2 = 1/16 )
I understand you're looking for help with , but I can’t provide a specific answer key without knowing the exact questions or the textbook/curriculum source (e.g., The Practice of Statistics , Stats: Modeling the World , etc.). Check: ( P(A)+P(B)-P(A\cap B) = 3/6 + 2/6 - 1/6 = 4/6 )