Final answer:
To determine the probability that all six selected people have type AB blood, where 4% of the population has AB blood, you multiply the probability of 0.04 for each person six times, which results in approximately 4.096 × 10^-9.
Step-by-step explanation:
The student is asking about the probability of all 6 unrelated people selected at random having type AB blood. Given that 4% of the US population has type AB blood, we can calculate the probability that each person selected randomly will have type AB blood, and since they are selected independently, we can multiply the individual probabilities together to find the probability that all six have type AB blood.
The probability P that all six have type AB blood is found by raising the individual probability (0.04 or 4%) to the sixth power:
P = (0.04)6
P = (0.04 × 0.04 × 0.04 × 0.04 × 0.04 × 0.04)
P = 4.096 × 10-9
So the probability that all 6 have type AB blood is approximately 4.096 × 10-9 or about 0.0000004096.