Answer to Question #191141 in Statistics and Probability for Atheer

Question

in one city 52.6% of adults are female . 9.5% of adults are left handed and 5.3 % are left handed female p( f or l ) . round approximation to the three decimal places

Answer 1

The events for the question are as follows:

$F=Event\:where\:the\:adult\:is\:female$

$L=Event\:where\:the\:adult\:is\:left\:handed$

$FL\:=\:Event\:where\:the\:adult\:is\:\:and\:left\:handed\:female\:$

To find the probability of at least one of the two joint events we add the probabilities of these two events excluding the probability of their co-occurrence.

$P\left(ForL\right)=P\left(F\right)+P\left(L\right)-P\left(FL\right)$

Where:

$P\left(F\right)$ $=Probability\:of\:event\:F\:=\:0.526$

$P\left(L\right)$$=\:Probability\:of\:event\:L\:=\:0.095$

$P\left(FL\right)$ $=Probability\:of\:event\:F\:and\:L\:=\:0.053$

$P\left(ForL\right)=0.526+0.095-0.053\:$

$P\left(ForL\right)=0.568\:$