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 =  HHH, HHT, HTH, HTT, THH, THT, TTH, TTT   (b) the event E that exactly two are heads E = HHT, THH, HTH (c) the event F that at least two are heads F = HHT, THH, HTH, HHH (d) the event G that all three are heads G = HHH   Give the following. (Enter the probabilities as fractions.) (e)    p(E)= 3/8 (f)    p(F)= 1/2 (g)    p(G)= 1/8 (h)    o(E)=  ????   (i)    o(F)=  ???? (j)    o(G)= ????

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.2: Probability
Problem 4E: Let E and F be events in a sample space S. (a) The probability of E and F occurring is P(EF)=...
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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 =  HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
 
(b) the event E that exactly two are heads
E = HHT, THH, HTH

(c) the event F that at least two are heads
F = HHT, THH, HTH, HHH


(d) the event G that all three are heads
G = HHH
 

Give the following. (Enter the probabilities as fractions.)

(e)    p(E)= 3/8

(f)    p(F)= 1/2

(g)    p(G)= 1/8

(h)    o(E)=  ????
 
(i)    o(F)=  ????

(j)    o(G)= ????
 
 
 
 
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