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Three coins are tossed, using ordered triples, do the following
NOTE:eg- if an outcome was 1st coin-heads, 2nd coin-tails and 3rd coin= heads then the ordered
triple would be (h, t, h)
a) write the set S for the sample space:
b)write the set E which is the event that exactly 1 head comes up
c) find p(E)
d) find O(E)
e) write the set F which is the event that at least 2 tails come up
f) find p(F)
g) find O(F)
Solution
a)
sample space S={(h,h,h),(t,t,t),(h,t,h),(t,h,h),(h,h,t),(t,t,h),(t,h,t),(h,t,t)}
b)
the set E which is the event that exactly 1 head comes up={(t,t,h),(t,h,t),(h,t,t)}
c)
p(E)=n(E)/n(S)=3/8
d)
O(E)=1-P(E)=1-3/8=5/8
e)
the set F which is the event that at least 2 tails come up={(t,t,h),(t,h,t),(h,t,t),(t,t,t)}
f)
p(F)=n(F)/n(S)=4/8=1/2
g)
O(F)=1-p(F)=1/2

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Three coins are tossed, using ordered triples, do the followingNOT.pdf

  • 1. Three coins are tossed, using ordered triples, do the following NOTE:eg- if an outcome was 1st coin-heads, 2nd coin-tails and 3rd coin= heads then the ordered triple would be (h, t, h) a) write the set S for the sample space: b)write the set E which is the event that exactly 1 head comes up c) find p(E) d) find O(E) e) write the set F which is the event that at least 2 tails come up f) find p(F) g) find O(F) Solution a) sample space S={(h,h,h),(t,t,t),(h,t,h),(t,h,h),(h,h,t),(t,t,h),(t,h,t),(h,t,t)} b) the set E which is the event that exactly 1 head comes up={(t,t,h),(t,h,t),(h,t,t)} c) p(E)=n(E)/n(S)=3/8 d) O(E)=1-P(E)=1-3/8=5/8
  • 2. e) the set F which is the event that at least 2 tails come up={(t,t,h),(t,h,t),(h,t,t),(t,t,t)} f) p(F)=n(F)/n(S)=4/8=1/2 g) O(F)=1-p(F)=1/2