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zainababbas25
24.02.2020 •
Mathematics
The sample space for three subsequent tosses of a fair coin is given as S = {hhh, hht, hth, htt, thh, tht, tth, ttt}. Define events, A: at least one tail is observed, and B: more tails than heads is observed. Find A ∩ B.
a.{htt, tht, tth, ttt}b.{hht, hth, htt, thh, tht, tth, ttt} c.{hhh, hht, hth, thh} d.{hhh, hht, hth, htt, thh, tht, tth, ttt} e.{hhh, ttt}
The sample space for three subsequent tosses of a fair coin is S = {hhh, hht, hth, htt, thh, tht, tth, ttt}. Define events, A: at least one tail is observed, and B: more tails than heads is observed. Find A ∩ Bc.
a.{htt, tht, tth, ttt} b.{hht, hth, thh} c.{hhh, hht, hth, thh} d.{hhh, hht, hth, htt, thh, tht, tth, ttt} e.{hhh, ttt}
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Ответ:
1. Option A. {htt, tht, tth, ttt}
2. Option B. {hht, hth, thh}
Step-by-step explanation:
1. S = {hhh, hht, hth, htt, thh, tht, tth, ttt}.
A: At least one tail means one tail and above. This is illustrated below:
A = {hht, hth, htt, thh, tht, tth, ttt}
B: more tails than heads is observed means the tails must be more than the heads. This is illustrated below:
B = {htt, tht, tth, ttt}
A ∩ B: This simply means elements common to both A and B. This is illustrated below:
A ∩ B = {htt, tht, tth, ttt}
2. S = {hhh, hht, hth, htt, thh, tht, tth, ttt}.
A: At least one tail means one tail and above. This is illustrated below:
A = {hht, hth, htt, thh, tht, tth, ttt}
B: more tails than heads is observed means the tails must be more than the heads. This is illustrated below:
B = {htt, tht, tth, ttt}
Bc: This is the set of elements found in the universal set but not found in the set B
Bc = { hhh, hht, hth, thh}
AnBc: means elements common to both set. This is illustrated below:
AnBc = {hht, hth, thh}
Ответ:
I dont understand that question do you have all of the question in there
Step-by-step explanation: