During one month, a blood donation center found that 45.8 % of the donors had the A antigen. 14.4 % of the donors had the B antigen. 4.3 % of the donors had the A antigen and the B antigen. 84.6 % of the donors were Rh+ 87.4 % of the donors had the B antigen or were Rh+a) Find the percent of donors that have the A antegen or the B antigenb) Find the percent of donors that have the B antigen and are Rh+

Question

During one month, a blood donation center found that  45.8  % of the donors had the A antigen.  14.4  % of the donors had the B antigen.  4.3  % of the donors had the A antigen and the B antigen.  84.6  % of the donors were Rh+  87.4  % of the donors had the B antigen or were Rh+a) Find the percent of donors that have the A antegen or the B antigenb) Find the percent of donors that have the B antigen and are Rh+

sekanta2b · Accepted Answer

Step 1Part-A:Percent of donors that have the A antegen or the B antigen:  P  (  A     or     B  )  =  P  (  A  )  +  P  (  B  )  −  P  (  A     and     B  )    ⇒  P  (  A     or     B  )  =  45.8  %  +  14.4  %  −  4.3  %    ⇒  P  (  A     or     B  )  =  55.9  %Step 2Part-B:Percent of donors that have the B antigen and are Rh+  P  (  B     and     R  h  +  )  =  P  (  B  )  +  P  (  R  h  +  )  −  P  (  B     or     R  h  +  )    ⇒  P  (  B     and     R  h  +  )  =  14.4  %  +  84.6  %  −  87.4  %    ⇒  P  (  B     and     R  h  +  )  =  11.6  %

Cheyanne Jefferson · Accepted Answer

Given  n  (  A  )  =  45.8  %  ;     n  (  B  )  =  14.4  %    n  (  A  ∩  B  )  =  4.3  %  ;    n  (  R  h  +  )  =  84.6  %    n  (  B  ∪  R  h  +  )  =  87.4  %    a  )     n  (  a  ∪  B  )  =  n  (  A  )  +  n  (  B  )  −  n  (  A  ∩  B  )    =  45.8  +  14.4  −  4.3    =  55.9  %    b  )     n  (  B  ∩  R  h  +  )  =  n  (  B  )  +  n  (  R  h  +  )  −  n  (  B  ∪  R  h  +  )    =  14.4  +  84.6  −  87.4    =  11.6  %

During one month, a blood donation center found that

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