Try this way,hope this will help you to solve your problem.
/drawable/radio_selector.xml
<selector xmlns:android="http://schemas.android.com/apk/res/android">
<item android:drawable="@android:color/white" android:state_checked="true" android:state_pressed="false"/>
<item android:drawable="@android:color/black" android:state_checked="false" android:state_pressed="false"/>
<item android:drawable="@android:color/white" android:state_checked="true" android:state_pressed="true"/>
<item android:drawable="@android:color/black" android:state_checked="false" android:state_pressed="true"/>
</selector>
/drawable/radio_text_color_selector.xml
<selector xmlns:android="http://schemas.android.com/apk/res/android">
<item android:color="@android:color/black" android:state_checked="true" />
<item android:color="@android:color/black" android:state_pressed="true"/>
<item android:color="@android:color/white" />
</selector>
/layout/customradiobutton.xml
<LinearLayout xmlns:android="http://schemas.android.com/apk/res/android"
android:layout_width="match_parent"
android:layout_height="match_parent"
android:orientation="vertical"
android:background="@android:color/darker_gray"
android:gravity="center">
<RadioGroup
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:orientation="horizontal">
<RadioButton
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:button="@null"
android:background="@drawable/radio_selector"
android:text="Radio1"
android:textColor="@drawable/radio_text_color_selector"
android:checked="true"
android:padding="10dp"/>
<RadioButton
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:button="@null"
android:background="@drawable/radio_selector"
android:text="Radio2"
android:layout_marginLeft="5dp"
android:textColor="@drawable/radio_text_color_selector"
android:padding="10dp"/>
<RadioButton
android:layout_width="wrap_content"
android:layout_height="wrap_content"
android:button="@null"
android:background="@drawable/radio_selector"
android:text="Radio3"
android:layout_marginLeft="5dp"
android:textColor="@drawable/radio_text_color_selector"
android:padding="10dp"/>
</RadioGroup>
</LinearLayout>