<p:selectOneRadio id="Gender"
    value="#{someBean.booleanVariable}"
    required="true"
   valueChangeListener="#{personBean.triggerGender}">
    <f:ajax execute="@this" listener="#{personBean.triggerGender}" render="triggerGender" />
  <f:selectItem itemLabel="Female" itemValue="female" />
  <f:selectItem itemLabel="Male" itemValue="male" />
</p:selectOneRadio>

personBean

public class ReportPerson {

private boolean female, male = true;
    public void triggerGender(ValueChangeEvent e) {
    System.err.println("Fired");
    if (e.getNewValue().equals("female")) {
        female = true;
        male = false;

    }

 }

<h:form id="triggerGender">
                        <h:outputLabel value="Does he has " styleClass="Labels"
                            rendered="#{personBean.male}" />
                        <h:outputLabel rendered="#{personBean.male}" />
                        <h:outputLabel rendered="#{personBean.male}" />

                        <h:outputLabel for="Moustache" value="Mustache ?"
                            styleClass="Labels" rendered="#{personBean.male}" />
                        <p:selectBooleanCheckbox
                            value="#{personBean.personDescription.moustach}"
                            rendered="#{personBean.male}" />
                        <h:outputLabel rendered="#{personBean.male}" />


                        <h:outputLabel value="Beared ? " styleClass="Labels"
                            rendered="#{personBean.male}" />
                        <p:selectBooleanCheckbox
                            value="#{personBean.personDescription.beared}"
                            rendered="#{personBean.male}" />
                        <h:outputLabel rendered="#{personBean.male}" />


                        <h:outputLabel value="Does she wear " styleClass="Labels"
                            rendered="#{personBean.female}" />
                        <h:outputLabel rendered="#{personBean.female}" />
                        <h:outputLabel rendered="#{personBean.female}" />

                        <h:outputLabel value="Describe?" styleClass="Labels"
                            rendered="#{personBean.female}" />
                        <p:selectBooleanCheckbox
                            value="#{personBean.personDescription.hijab}"
                            rendered="#{personBean.female}" />
                        <h:outputLabel rendered="#{personBean.female}" />

                    </h:form>

<f:ajax execute="@this" listener="#{personBean.triggerGender}" render="triggerGender"></f:ajax>