The distribution of blood types in Ireland differs from the U.S. distribution given in the previous exercise.U.S.: Blood Type A- Probability .42, Blood type B- Probability .11, Blood Type AB- Probability .03, Blood Type O- Probability .44Ireland: Blood Type A- .35, Blood Type B- Probability- .10, Blood type AB- Probability .03, Blood Type 0- Probability .52.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? What is the probability that both have the same blood type?

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.

[tex]P = 0.44*0.52 = 0.2288[/tex]

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.

[tex]P_{A} = 0.42*0.52 = 0.2184[/tex]

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.

[tex]P_{B} = 0.11*0.10 = 0.011[/tex]

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.

[tex]P_{AB} = 0.03*0.03 = 0.0009[/tex]

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.

[tex]P_{O} = 0.44*0.52 = 0.2288[/tex]

Total

[tex]P = P_{A} + P_{B} + P_{AB} + P_{O} = 0.2184 + 0.011 + 0.0009 + 0.2288 = 0.4591[/tex]

45.91% probability that both have the same blood type

francocanacari francocanacari · Answer 2 · 2022-03-24T13:41:57+01:00

The probability that both have type 0 blood is 22.88%, and the probability that both have the same blood type is 38.77%.

Probabilities

To determine, in case a person from the US and a person from Ireland are chosen at random, independently of each other, what is the probability that both have type 0 blood, and what is the probability that both have the same blood type , the following calculation must be performed:

US 0- = 0.44
Ireland 0- = 0.52
0.44 x 0.52 = X
0.2288 = X

0.42 x 0.35 = X
0.147 = X
0.11 x 0.10 = X
0.011 = X
0.03 x 0.03 = X
0.0009 = X
22.88 + 14.7 + 1.10 + 0.09 = X
38.77 = X

Therefore, the probability that both have type 0 blood is 22.88%, and the probability that both have the same blood type is 38.77%.

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