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is there a chance to get pregnant if sexual intercourse done at the 6th day of period :

its unlikely to get pregnant if sexual intercourse take place at the 6th day , because ovulation days are usually at 12-16th day of period . but its also not impossible if the female partner have irrgular period or hormonal abnormalties 

is it safe to have unprotected sexual intercourse after the 6th days of period :

- if you are asking about having sexual intercourse after bleeding days directly , its safe , but its preferable to have sexual intercourse after at least one days after stop bleeding 
- if you are asking about the safety of having STD , well unprotected sex have risks of having sexual transmitted disease ( unrelated to which days you are having the sexual intercourse )

general advices :

- if you suspected any thing , consult a doctor will be the first and most important step 
- to avoid pregnancy , its better to avoid ovulation days , besides using condom or OCP 
- to avoid sexual transmitted diseases , condom will be best intial step to decrease the risk of having STD  
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