Answer:
22.88% probability that both have type 0 blood
45.91% probability that both have the same blood type
Step-by-step explanation:
We have these following probabilities:
US:
42% probability of type A- blood
11% probability of type B blood
3% probability of type AB- blood
44% probability of type O blood
Ireland:
35% probability of type A- blood
10% probability of type B blood
3% probability of type AB blood
52% probability of type O blood
Choose a person from the US and a person from Ireland at random, independently of each other. what is the probability that both have type 0 blood?
44% probability that a person from the US has type O blood.
52% probability that a person from Ireland has type O blood.
![P = 0.44*0.52 = 0.2288](https://tex.z-dn.net/?f=P%20%3D%200.44%2A0.52%20%3D%200.2288)
22.88% probability that both have type 0 blood
What is the probability that both have the same blood type?
Their blood types can be A, B, AB or O
Type A:
42% probability that a person from the US has type A blood.
52% probability that a person from Ireland has type A blood.
![P_{A} = 0.42*0.52 = 0.2184](https://tex.z-dn.net/?f=P_%7BA%7D%20%3D%200.42%2A0.52%20%3D%200.2184)
Type B:
11% probability that a person from the US has type B blood.
10% probability that a person from Ireland has type B blood.
![P_{B} = 0.11*0.10 = 0.011](https://tex.z-dn.net/?f=P_%7BB%7D%20%3D%200.11%2A0.10%20%3D%200.011)
Type AB:
3% probability that a person from the US has type AB blood.
3% probability that a person from Ireland has type AB blood.
![P_{AB} = 0.03*0.03 = 0.0009](https://tex.z-dn.net/?f=P_%7BAB%7D%20%3D%200.03%2A0.03%20%3D%200.0009)
Type O:
44% probability that a person from the US has type O blood.
52% probability that a person from Ireland has type O blood.
![P_{O} = 0.44*0.52 = 0.2288](https://tex.z-dn.net/?f=P_%7BO%7D%20%3D%200.44%2A0.52%20%3D%200.2288)
Total
![P = P_{A} + P_{B} + P_{AB} + P_{O} = 0.2184 + 0.011 + 0.0009 + 0.2288 = 0.4591](https://tex.z-dn.net/?f=P%20%3D%20P_%7BA%7D%20%2B%20P_%7BB%7D%20%2B%20P_%7BAB%7D%20%2B%20P_%7BO%7D%20%3D%200.2184%20%2B%200.011%20%2B%200.0009%20%2B%200.2288%20%3D%200.4591)
45.91% probability that both have the same blood type