Question

The table below shows the results of a survey in which researchers examined a child's IQ and the presence of a stupid gene is the child.

	Gene Present	Gene not Present	Total
High IQ	33	11	44
Low IQ	12	27	39
Total	45	38	83

I.The Probability that a randomly selected child has Low IQ or Gene Present is closest to:

II. Given that the gene is present in a child, the probability that he/she will have Low IQ is closest to

Answer 1

From given table,

I

The Probability that a randomly selected child has Low IQ or Gene Present is ,

= P(low IQ) + P(Gene present) - P(low IQ and Gene present)

= (39 + 45 - 12) / 83

= 0.8675

II) P(low IQ | Gene present) = 12 / 45 = 0.2667