Question

Here is the probability model for the blood type of a randomly chosen person in the United States.Blood typeoABABProbability 0.59 0.16 0.1 0.15What is the probability that a randomly chosen American does not have type o blood?% Round to the nearest 0.01%

Answer 1

The complement of an event E, consists of any outcome in an experiment in which event E does not occur.

For the experiment shownin the table, the event is an American chosen at random having blood type O. Therefore the complement of that event in the experiment is that of an American NOT having blood type O.

Therefore;

`\begin{gathered} P\lbrack blood\text{ type O\rbrack=0.59} \\ P\lbrack\text{not blood type O\rbrack=1-P\lbrack{}blood type O\rbrack} \\ P\lbrack\text{not blood type O\rbrack=1-0.59} \\ P\lbrack\text{not blood type O\rbrack=0.41} \end{gathered}`

Expressed as a percentage, this becomes;

`\begin{gathered} P\lbrack\text{not blood type O\rbrack=0.41 x 100} \\ P\lbrack\text{not blood type O\rbrack=41\%} \end{gathered}`