There are four blood types, and not all are equally likely to be in blood banks. In a certain blood bank, 49% of donations are type O blood, 27% of donations are type A blood, 20% of donations are type B blood, and 4% of donations are type AB blood. A blood bank wants to know how many donations will be required, on average, to achieve at least one of each of the blood types.
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Answer:
There are four blood types, and not all are equally likely to be in blood banks. In a certain blood bank, 49% of donations are type O blood, 27% of donations are type A blood, 20% of donations are type B blood, and 4% of donations are type AB blood.
Given : There are four blood types, and not all are equally likely to be in blood banks.
In a certain blood bank, 49% of donations are type O blood,
27% of donations are type A blood,
20% of donations are type B blood, and 4% of donations are type AB blood.
To Find : how many donations will be required, on average, to achieve at least one of each of the blood types.
Solution:
Let say x donations required
Least is 4% of donations . type AB blood.
Hence minimum 1 of AB type
(4/100) x = 1
=> x = 100/4
=> x = 25
Hence at least 25 donations required to achieve at least one of each of the blood types.
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