Three coins are tossed. Using H to indicate heads and T to indicate tails, give the following. (To indicate that the first coin is tails, the second coin is tails, and the third coin is heads enter TTH. Enter your answers as a comma-separated list.) (a) the sample space S =  (b) the event E that exactly two are heads E =  (c) the event F that at least two are heads F =  (d) the event G that all three are heads G =    Give the following. (Enter the probabilities as fractions.)   (e)     p(E) (f)     p(F) (g)     p(G) (h)     o(E)   (i)     o(F)   (j)     o(G)

Question

Three coins are tossed.

Using H to indicate heads and T to indicate tails, give the following. (To indicate that the first coin is tails, the second coin is tails, and the third coin is heads enter TTH. Enter your answers as a comma-separated list.)

(a) the sample space
S = 

(b) the event E that exactly two are heads
E = 

(c) the event F that at least two are heads
F = 

(d) the event G that all three are heads
G = 
 
Give the following. (Enter the probabilities as fractions.)
 
(e)    
p(E)

(f)    
p(F)

(g)    
p(G)

(h)    
o(E)
 
(i)    
o(F)
 
(j)    
o(G)

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