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A2. Using the product rule, determine the percentage chance of each combination occurring in the population,

The number after each characteristic indicates its percentage distribution in the population, p.84
SHOW ALL WORK, 100 to change to %, round to 4 decimal places.
a. Male (50%). Type B blood (12%), brown hair (65%), wearing glasses (579)
(x100) =

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Final answer:

Using the product rule, the percentage chance of a male with type B blood, brown hair, and wearing glasses occurring in the population is calculated by multiplying the probabilities of each characteristic and is approximately 2.2260%.

Step-by-step explanation:

To calculate the percentage chance of a combination occurring in the population using the product rule, you multiply the individual probability percentages of each characteristic. This specific combination includes being male (50%), having type B blood (12%), brown hair (65%), and wearing glasses (57%). To convert the probabilities to a decimal form suitable for the product rule, you divide each percentage by 100.

Step 1: Convert each percentage to a decimal.

Male: 50% = 0.50

Type B blood: 12% = 0.12

Brown hair: 65% = 0.65

Wearing glasses: 57% = 0.57

Step 2: Multiply these probabilities together.

0.50 (male) × 0.12 (type B blood) × 0.65 (brown hair) × 0.57 (wearing glasses) = 0.02226

Step 3: Convert the decimal back to a percentage and round to four decimal places.

0.02226 × 100 = 2.226%

The final probability, rounded to four decimal places, is approximately 2.2260%.

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