Question

write a sample space of the following
a. 2 dice rolled together
b. 3 coins tossed randomly
​

Answer 1

a = {(1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),(2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),(4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6),(6,1),(6,2),(6,3),(6,4),(6,5),(6,6)}

b = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}

H-head & T-tail

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Answer 2

Step-by-step explanation:

Event A=2 dice rolled together

S={ (1,1),(1,2),(1,3),(1,4),(1,5),(1,6),(2,1),(2,2),(2,3),(2,4),(2,5),2,6),(3,1),(3,2),(3,3),(3,4),(3,5),(3,6),(4,1),(4,2),(4,3),4,4),(4,5),(4,6),(5,1),(5,2),(5,3),(5,4),(5,5),(5,6)}

n(s) =36

Event B={ (HHH),(TTT),(HHT),(HTH),(THH),(HTT),(THT),(TTH)}