1. An individual of blood type O and Rhesus negative (denoted by \"O-\") are uni

Question

1. An individual of blood type O and Rhesus negative (denoted by "O-") are universal donors. If 46% of individuals have blood type O and 16% of individual are Rhesus negative, and the two blood types are independent of one another. Calculate the following probabilities (a) Probability of finding a universal donor, i.e. an "O-” individual. (b) Probability of finding an individual that is "O+ (c) Probability of finding an individual that is not O but is Rhesus negative. (d) Probability of finding an individual that is not O and is Rhesus positive.

Explanation / Answer

Since O and Rhesus negative are independent of each other,

P(O and Rhesus negative) = 0.46*0.16 = 0.0736

Hence,

a) P(O- individual) = 0.0736

b) P(O+ individual) = P(O) - P(O-) = 0.46 - 0.0736 = 0.3864

c) P(Not O but Rhesus negative)

= P(Rhesus negative) - P(O and Rhesus negative)

= 0.16 - 0.0736

= 0.0864

d) P(Not O and is Rhesus positive)

= P(Rhesus positive) - P(O and Rhesus positive)

= (1 - 0.16) - 0.46*(1-0.16)

= 0.4536

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