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Of the volunteers coming into a blood center, 1 in 3 have O+ blood, 1 in 15 have O-, 1 in 3 have A+, and 1 in 16 have A-. The name of one person who previously has donated blood is selected from the records of the center. What is the probability that the person selected has________.a. type O+ bloodb. type O bloodc. type A bloodd. neither type A nor type O blood

Respuesta :

Answer:

Step-by-step explanation:

Given that of  the volunteers coming into a blood center, 1 in 3 have O+ blood, 1 in 15 have O-, 1 in 3 have A+, and 1 in 16 have A-.

i.e. we can say out of the volunteers

O+ = [tex]\frac{1}{3}[/tex] = 0.3333

O-=[tex]\frac{1}{15}[/tex]=0.06667

A+=[tex]\frac{1}{3}[/tex]=0.3333

A-=[tex]\frac{1}{16}[/tex]=0.0625

Total = 0.795833

We can say remaining belong to B or AB.

%he probability that the person selected has________.

a. type O+ blood  = [tex]\frac{0.3333}{0.7958} =0.4188[/tex]

b. type O blood= [tex]\frac{0.3333+0.06667}{0.7958} =0.5026[/tex]

c. type A blood = [tex]\frac{0.3333+0.0625}{0.7958} =0.4974[/tex]

d. neither type A nor type O blood = [tex]1-0.7958\\= 0.2042[/tex]