Probability
Match List
MMTS_Full_Test_13
Grade 12
Question:
Two players $P_1$ and $P_2$ play a game. Each player rolls a die once. If $x>y$: $P_1$ scores 5, $P_2$ scores 0. If $x=y$: each scores 2. If $x<y$: $P_1$ scores 0, $P_2$ scores 5. Match: I) $P(X_2\ge Y_2)$; II) $P(X_2>Y_2)$; III) $P(X_3=Y_3)$; IV) $P(X_3>Y_3)$ with P) 3/8, Q) 11/16, R) 5/16, S) 355/864, T) 77/432.
I→Q; II→R; III→T; IV→S
I→Q; II→R; III→T; IV→T
I→P; II→R; III→Q; IV→S
I→P; II→R; III→Q; IV→T
Step-by-Step Solution
Key Concept: Compute probabilities for 2nd and 3rd round scores
I→P(3/8), II→R(5/16), III→Q(11/16)... Match: I→P,II→R,III→Q,IV→S... answer 3.
Correct Answer: 1