Question

determining conditional probabilities of blood types

the table displays the distribution of blood types a, b, ab, and o to the presence of the rh factor that is either present (pos.) or absent (neg.).

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$$\begin{tabular}{|c|c|c|c|c|c|} \\hline & a & b & ab & o & total \\\\ \\hline neg. & .07 & .02 & .01 & .08 & .18 \\\\ \\hline pos. & .33 & .09 & .03 & .37 & .82 \\\\ \\hline total & .40 & .11 & .04 & .45 & 1.0 \\\\ \\hline \\end{tabular}$$

use the information in the two-way table to complete the statement.

the probability that a person has a positive rh factor given that he/she has type o blood is dropdown percent.

there is a greater probability for a person to have a dropdown than a person to have a positive rh factor given type o blood.

Explanation:

Calculate the conditional probability of positive Rh given type O

Using the Conditional Probability Calculation and Two-Way Frequency Tables knowledge points

$$ P(\text{Pos.} \mid \text{O}) = \frac{P(\text{Pos.} \cap \text{O})}{P(\text{O})} = \frac{0.37}{0.45} \approx 0.8222 = 82.2\% $$

Compare with other conditional probabilities

Using the Conditional Probability Calculation and Two-Way Frequency Tables knowledge points

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Answer:

Use the information in the two-way table to complete the statement.

The probability that a person has a positive Rh factor given that he/she has type O blood is <blank>82.2</blank> percent.
There is a greater probability for a person to have a <blank>positive Rh factor given type A blood</blank> than a person to have a positive Rh factor given type O blood.