The following table was gathered from the National Diabetes Statistics Report, 2020 from the Center of Disease

Suppose that A and B are events, then the probability that B occurred given that A has occurred is given by $LaTeX: P(B|A)=\dfrac{P(A \ and \ B)}{P(A)}$ .

The following is a table created illustrating the results of the CDC report on the number of existing Diabetes cases with the number of undiagnosed cases for Diabetes. The table is illustrated below and everyone in the table has Diabetes (either type I or type 2).

**Age versus Diagnosis Type**
Age	Diagnosed Diabetes	Undiagnosed Diabetes	Total
18 to 44	30	11	41
45 to 64	138	36	174
65 or older	214	54	268
Total	382	101	483

If you select a person from this table at random, what’s the probability the person:

Approximate to the Thousandths

Diagnosed?
Diagnosed given that the person is aged 18 to 44 years?
Diagnosed given that the person is aged 45 to 64 years?
Diagnosed given that the person is 65 or older?
Which group was most likely to be diagnosed? Why?
Which group was least likely to be diagnosed? Why?
Undiagnosed?
Undiagnosed given that the person is aged 18 to 44 years?
Undiagnosed given that the person is aged 45 to 64 years?
Undiagnosed given that the person is 65 or older?
Which group was most likely to be undiagnosed? Why?
Which group was least likely to be undiagnosed? Why?

**Sex versus Diagnosis Type**
Sex	Diagnosed Diabetes	Undiagnosed Diabetes	Total
Men	110	31	141
Women	95	25	120
Total	205	56	261

If you select a person at random, what’s the probability the person:

Approximate to the Thousandths

Diagnosed?
Diagnosed given that the person is a man?
Diagnosed given that the person is a woman?
Which group was most likely to be diagnosed? Why?
Which group was least likely to be diagnosed? Why?
Undiagnosed?
Undiagnosed given that the person is aged 18 to 44 years?
Undiagnosed given that the person is aged 45 to 64 years?
Undiagnosed given that the person is 65 or older?
Which group was most likely to be undiagnosed? Why?
Which group was least likely to be undiagnosed? Why?

**Race/Ethnicity versus Diagnosis Type**
Race-Ethnicity	Diagnosed Diabetes	Undiagnosed Diabetes	Total
White (non-Hispanic)	94	25	119
Black (non-Hispanic)	133	30	163
Asian (Non-Hispanic)	112	46	158
Hispanic	103	35	138
Total	442	136	578

If you select a person at random, what’s the probability the person:

Approximate to the Thousandths

Diagnosed?
Diagnosed given that the person is White (non-Hispanic)?
Diagnosed given that the person is Black (non-Hispanic)?
Diagnosed given that the person is Asian (non-Hispanic)?
Diagnosed given that the person is Hispanic?
Which group was most likely to be diagnosed? Why?
Which group was least likely to be diagnosed? Why?
Undiagnosed?
Undiagnosed given that the person is White (non-Hispanic)?
Undiagnosed given that the person is Black (non-Hispanic)?
Undiagnosed given that the person is Asian (non-Hispanic)?
Undiagnosed given that the person is Hispanic?
Which group was most likely to be undiagnosed? Why?
Which group was least likely to be undiagnosed? Why?

**Race/Ethnicity versus Diagnosis Type**
Education	Diagnosed Diabetes(Thousands)	Undiagnosed Diabetes	Total
Less than High School	127	39	166
High School	97	30	127
More than High School	83	22	105
Total	307	91	398

If you select a person at random, what’s the probability the person: Approximate to the Thousandths.

Has less than a High School education?
Has a High School education?
Has more than a High School education?
Was diagnosed with diabetes?
Was undiagnosed with diabetes?
Has a High School education or was diagnosed with diabetes?
Has a High School education or was undiagnosed with diabetes?