Samantha is experimenting with three spinners. Each spinner is divided into three equal sections with a number in each section.
Spinner A shows 8, 6, 1;
Spnner B shows 7, 5, 3;
Spnner C shows 9, 4, 2.
Samantha spins two spinners and recored as winner the one that stopped on the greater number. She has already found that A usually wins over B and the B usually wins over C. She guesses that A will usually win over C.
Is her guess correct?
Find the probabilities that A wins over B and that B wins over C.
If spinners A and C are spun, which one do you think will win most often?
Answer:
Her guess is wrong.
P(A wins over B) = .56
P(B wins over C) = .56
P(A wins over C) = .44 So, C will win over A 56% of the time.
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