Statistical Probabilities ( episode ) Bashir helps a group of eccentric fellow genetically engineered Humans try to make a useful contribution to the Federation ; the Dominion offers to sign a truce with the Federation . Summary . Teaser . Lieutenant Karen Loews , a Starfleet psychiatrist , brings four genetically engineered Human s to Deep Space 9 looking for help from Dr . Bashir . The group hasn ' t been as lucky as Bashir , and every one has strong social disabilities ( mania , bipolar disorder , catatonia , etc . ) . The group consists of the hostile and hyperactive , the seductive Lauren , the child - like Patrick , and the completely unresponsive Sarina . Loews tries to calm them down , as she ' s leaving for the three weeks they are spending there , but they are nervous . Jack breaks a PADD Lauren is using to read about Bashir and angrily slams it into Loews ' hand , cutting her . She , however , calmly says he ' s not to do things like that , and leaves . Loews comes out to meet Bashir , shaking off her bleeding hand and wishing him luck . Act One . Bashir spends a few moments meeting the group . They ' ve turned out the lights , leaving him to be observed without being seen , but his eyes adjust soon enough . Jack is adversarial , criticizing on a distant relative poet of his , performing a full - body flip and asking if he can also do that , and asking for the cube root of 329 . Lauren , however , is intrigued with him and asks about his genetic background and how he hid it from everyone . Jack interjects , saying he ' s different , however , and was able to " cut a deal " with Starfleet when his genetic status came out , angry that he didn ' t have to spend his days like they did in an institute . Bashir points out it ' s still possible to be a productive member of society even if the Eugenics Wars gave a good reason why people like them have been barred from certain professions . Jack has clearly never accepted that argument and will never forget what ' s been done to him . Bashir thinks that ' s enough for now , and simply ends the conversation saying he has dinner plans . After he leaves , Lauren chides Jack for " scaring him off . " During a dinner party hosted by Captain Sisko , Bashir discusses with the rest of the station ' s senior staff the group as well as the issues surrounding genetic engineering and his wish to help the group become normal members of society . The feedback he receives is divided : while the others agree that while they shouldn ' t be blamed for what their parents had done to them , it is felt that they should indeed be limited in what they are allowed to do , such as joining Starfleet , lest other people be encouraged to do the same thing . Sensing an uneasy mood , Sisko brings up Damar ' s upcoming speech , and the officers all agree that , whatever he says , it ' ll likely be bad news for the Federation . They are interrupted when Jack breaks into the com system to contact their new friend about an annoying high - pitched noise . Back in their quarters , Bashir confirms what nobody else can hear . Then , quickly , Jack grabs Sarina and threatens to snap her neck if he doesn ' t fix it . Act Two . Bashir , not worried , calls Miles O ' Brien and asks him to let Sarina go . He eventually submits and soon O ' Brien arrives to fix the problem . He avoids the eccentricities of the others in the room and goes to the other side . With some unexpected help from Patrick , who can diagnose it with his ears , he confirms the problem with his tricorder and quickly fixes it , much to the others ' relief . While Bashir and O ' Brien are in the room , they hear Damar , now leader of the Cardassian Union , broadcasts a speech , and not wanting to miss it they watch it on the room ' s viewscreen . Damar is calling for negotiations for peace with the Federation . The transmission captures the group ' s attention , and they are quickly enthralled by it . Interestingly , they start making very accurate guesses about who Damar is even though they know nothing about him . Bashir and O ' Brien are astonished at the speed with which the group is able to deduce much of Damar ' s story based on only the one speech . They become very interested in the matter and quickly go through all the database material about Cardassia and the Dominion . Bashir goes to Ops and tells the others about the remarkable observations . When he hears that the Dominion has insisted that the negotiations be recorded , he enthusiastically intends to let the group see it , thinking they can assist the peace talks between the Dominion and Starfleet on the next day . They are thrilled . Act Three . While viewing a holographic program of the negotiation talks , the group proves very useful at uncovering a move by the Dominion to acquire a strategic planet that would allow them to produce ketracel - white . Bashir happily takes the information to Sisko and he even agrees to send the information along , and the analysis behind it , to Starfleet Intelligence . The group celebrates with a party . In the meantime , Bashir goes to Quark ' s with O ' Brien after the group notices that the chief seems to miss his friend , especially since his wife is off - station . Bashir proves difficult , walking the wrong side of the thin line between super - intelligent Humans and " uncomplicated " ( as he qualifies O ' Brien ) , " slow " people . Later , back with the group , Bashir attempts to cheer them up by announcing that Starfleet has granted them access to classified information , but he is welcomed by a new and devastating projection . According to them , the Federation will be defeated despite many different likely scenarios happening . Bashir checks all the statistical analyses , but he cannot find any errors . Act Four . Bashir tries to convince Sisko of the new information . The group is confident that , even though the Federation will be conquered , they will eventually rebuild and form a rebellion against the Dominion . Since it seems inescapable , the best move would be to surrender immediately to prevent the loss of life . The captain refuses point - blank to accept this and passes on the projections to Starfleet without his endorsement knowing they ' ll be rejected . Bashir can ' t believe it . Bashir goes to Quark ' s and tried to explain the analysis to O ' Brien , but the chief agrees with Sisko . He can ' t understand why they don ' t agree with the analysis , and O ' Brien starts to take offense , seeing the implication he can ' t understand it . Quark tries to point out at a dabo table that even when the odds are against you , you can still win , and you can enjoy the hope of winning . Bashir explains the situation to the others , and tells them Starfleet has rejected the recommendation to surrender . Jack , however , won ' t sit by and do nothing . He suggests they can save billions of lives by contacting the Dominion by themselves and giving them the classified information on Starfleet battle plans , ending the war earlier . Bashir objects , saying they don ' t have the right to decide that . Jack immediately knocks him out and they get to work . Act Five . During negotiations , Damar is complaining about the peace talks ' lack of progress . Weyoun tells him he has just received a communication from an anonymous Federation source promising them some very valuable information . Back on Deep Space 9 , Bashir regains consciousness . He is tied up . Everyone but Sarina is gone , and Bashir realizes they have probably gone to meet the Dominion representatives . Fortunately , he is able to convince Sarina him to help him prevent them from committing treason , pointing out they ' ll be arrested and she ' ll never see Jack again . He catches up with the group on the way to the secret meeting and takes back the classified information . Meanwhile , Damar and Weyoun are waiting in Cargo bay 2 for the meeting when Odo walks in . He tells them no one else is coming , and offers to escort them back to their quarters . In the group ' s quarters , Bashir tells the group Sisko has decided not to press charges , but they will have to go back to the Institute . Jack is still furious . Bashir then explains that even when probability is not on your side , one person can still change the course of history . He uses the example of Sarina ' s helping him – as one person , she changed the course of history in a way that Jack hadn ' t predicted . There ' s always an element of uncertainty . As such , the Federation is willing to bet nine hundred billion lives . Bashir and O ' Brien meet in the bar , and the chief says it must have been a hard decision for him . That wanting to save lives is what makes him such a good doctor . Bashir says he feels the whole thing was his fault – he just wanted to prove the group could make a contribution . O ' Brien assures him they did and then leaves to go on duty . Bashir starts playing dabo , making risky bets – and wins . Just then , O ' Brien calls to let him know that a certain group of passengers is refusing to board their transport unless the doctor comes to see them . In the guest quarters , Bashir says he didn ' t think they ' d want to see him again . Lauren kisses him . Patrick asks if Bashir will come visit them . Bashir says yes , he ' d like that . He tells Sarina she did the right thing . Jack asks if he will listen if they do come up with a way to defeat the Dominion . Bashir says yes , he can ' t think if anything he ' d like better . Jack says , " " Good , good . Let ' s go then . " " Bashir calls O ' Brien to beam the four to their transport . Memorable quotes . " " Did you hear that ? He used the passive voice transitive . " " " " Since when can you speak Dominionese ? " " " " Since this morning . " " " " Fellow citizens , these are great days for Cardassia . Together , with our Dominion allies , we have given our enemies cause to fear us once more . The war with the Federation accomplished all of our goals . Cardassia is strong again , an empire to be feared . We are safe behind secure borders , and no one will ever dare attack us again . " " " " From this position of strength , we are poised to take another bold step to insure our future — peace . It is time to bring an end to this war with the Federation . It is time for us to rebuild on the foundation of strength we have laid . The sons of Cardassia shed their blood to defend our home . Their sacrifice must not be in vain . The peace we seek will honor their memory , and preserve the gains for which they gave their lives . " " " " I challenge the Federation to answer my call for peace . I am ready at any time to meet with its representatives to discuss how we can bring an end to hostilities . As your leader , I pledge that I will do everything in my power to protect Cardassia and allow us to move forward into a new era . This I vow with my life ' s blood . For my sons , for all our sons . " " " " Surrender to the Dominion . Not on my watch ! " " " " It was amazing . They pieced together the entire story of how Damar came to power . Weyoun is the dark prince , Gul Dukat is the deposed king , Damar is the pretender to the throne , and Ziyal is the innocent princess he murdered . And now the pretender is wracked with guilt over what he ' s done . " " " " And they got all this just from watching Damar ' s speech ? " " " " Well , they were fascinated by the whole thing . They kept bombarding me with questions about Cardassia and the war . I ' ve never seen them so engaged . " " " " You ' re welcome to play your little " we ' re all friends here " act with me . But I wouldn ' t try it on Captain Sisko . He ' s not in the mood . " " " " We ' re on a mission of peace , Major . Maybe he should get in the mood . " " " " Well , I ' d love to stay and chat about our impending doom but . . . " " Links and references . References . adjutant ; advisor ; Alpha Quadrant ; ; ; ; Bashir ' s doctor ; " " ; Cardassia ; Cardassian s ; Cardassian Empire ; cormaline ; " coup " ; cube root ; dabo ; darts ; DNA resequencing ; Dominion ; Dominionese ; Dukat ; Earth ; Eugenics Wars ; Federation ; genetic engineering ; Holna IV ; " Institute " ; Jem ' Hadar ; Kabrel system ; Kabrel I ; Kabrel II ; Kandora champagne ; ketracel - white ; knight ; mizinite ; mole people ; murder ; mutant ; neck ; nonlinear dynamics ; ; Obsidian Order ; passive voice transitive ; plagiarism ; power coupling ; Quark ' s ; ringside seats ; Romulan s ; ; ; shorthand ; Starfleet ; Starfleet Command ; Starfleet Intelligence ; statistical analysis ; statistics ; ; surrender ; sympathetic vibration ; " There ' s a Hole in the Bucket " ; three - dimensional chess ; Tora Ziyal ; treason ; tricorder ; ; yridium bicantizine