Questions: Here is the probability model for the blood type of a randomly chosen person in the United States. Blood type O A B AB Probability 0.41 0.25 0.09 0.25 What is the probability that a randomly chosen American does not have type O blood? Round to the nearest 0.01%

Here is the probability model for the blood type of a randomly chosen person in the United States. Blood type O A B AB Probability 0.41 0.25 0.09 0.25 What is the probability that a randomly chosen American does not have type O blood? Round to the nearest 0.01%
Transcript text: Here is the probability model for the blood type of a randomly chosen person in the United States. \begin{tabular}{|c|c|c|c|c|} \hline Blood type & O & A & B & AB \\ \hline Probability & 0.41 & 0.25 & 0.09 & 0.25 \\ \hline \end{tabular} What is the probability that a randomly chosen American does not have type 0 blood? $\square$ Round to the nearest $0.01 \%$
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Solution

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Solution Steps

To find the probability that a randomly chosen American does not have type O blood, we need to subtract the probability of having type O blood from 1. This is because the total probability of all possible outcomes must equal 1. Once we have this probability, we will round it to the nearest 0.01%.

Step 1: Determine the Probability of Type O Blood

The probability of a randomly chosen American having type O blood is given as \( P(O) = 0.41 \).

Step 2: Calculate the Probability of Not Having Type O Blood

To find the probability of not having type O blood, we use the formula: \[ P(\text{not } O) = 1 - P(O) \] Substituting the known value: \[ P(\text{not } O) = 1 - 0.41 = 0.59 \]

Step 3: Round the Probability

Next, we round the probability \( P(\text{not } O) \) to the nearest \( 0.01\% \): \[ P(\text{not } O) \text{ rounded} = 0.59 \times 100 = 59.0 \]

Final Answer

The probability that a randomly chosen American does not have type O blood is \[ \boxed{59.0\%} \]

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