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The table summarizes the distribution of age and assigned group for $90$ participants in a study.

	$0$ – $9$ years	$10$ – $19$ years	$20 plus$ years	Total
Group A	$5$	$17$	$8$	$30$
Group B	$6$	$8$	$16$	$30$
Group C	$19$	$5$	$6$	$30$
Total	$30$	$30$	$30$	$90$

One of these participants will be selected at random. What is the probability of selecting a participant from group A, given that the participant is at least 10 years of age?