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1. (a) What is the sample space S for flipping a coin until you get a head or 4 consecutive tails? Write down your sample space by listing the elements. (b) An experiment involves tossing a pair of dice, one green and one red, recording the numbers that come up. These are special dice. Each die has only 5 sides and are labeled with the numbers 1, 2, 3, 4, 5. Let r be the outcome on the green die and y be the outcome on the red die. Describe the sample space S by using the rule method
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a) Answer Given is the sample space(S) for flipping a coin until you get a head or four consecutive tails We consider head as H and tail as T TTH,TTTTH. b) Answer By rule method we describe the sample size(S) of pair of dice, each dice has only 5 sides Green dice G1 G1 G1 G1 G1 G2 G2 G2 G2 G2 G3 G3 G3 G3 G3 G4 G4 G4 G4 G4 Red dice R1 R2 R3 R4 R5 R1 R2 R3 R4 RS R1 R2 R3 R4 R5 R1 R2 R3 R4 R5 R1 R2 R3 R4 R5 Outcome (G1,R1) (G1.R2) (G1,R3 G1,R4) G1,R5 G2,R1 G2,R2 G2,R3 G2,R4 G2,RS G3,R1 G3,R2 G3,R3 (G3,R4) (G3,R5) (G4,R1) (G4,R2 (G4,R3) G4,R4) G4,R5) GS,R1 G5,R2 GS,R3 GS,R4) GS,RS r.no 10 12 13 14 15 16 17 18 19 20 21 GS GS G5 GS 23 25 S-(G1,R1), (G1,R2) (G1,R3),(G1,R4),(G1,R5), G2,R1), G2,R2), (G2, R3) G2,R4), (G2,RS), (G3,R1) (G3,R2),(G3,R3),(G3,R4),(G3,RS),(G4,R1),(G4,R2),(G4,R3),(G4,R4).(G4,R5),(G5,R1),(G5,R2),(G!5 R3),(G5,R4),(G5,R5))

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