Question 6 - A-Level Maths

OCR Further Discrete AS 2019 June — Question 6

Exam Board	OCR
Module	Further Discrete AS (Further Discrete AS)
Year	2019
Session	June
Topic	Groups

6 Drew and Emma play a game in which they each choose a strategy and then use the tables below to determine the pay-off that each receives.

Drew's pay-off		Emma
		X	Y	Z
\cline { 2 - 5 } \multirow{2}{*}{Drew}	P	3	14	11
	Q	12	4	7
	R	11	4	6

Emma's pay-off		Emma
		X	Y	Z
\cline { 2 - 5 } \multirow{3}{*}{Drew}	P	13	2	5
	Q	4	12	9
	R	5	12	10

Convert the game into a zero-sum game, giving the pay-off matrix for Drew.
Determine the optimal mixed strategy for Drew.
Determine the optimal mixed strategy for Emma.

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