the table shows the blood types of 75 donors after a one-day blood drive. based on the result, what is the chance that a random donor has type A blood?

blood type - O A B AB
Frequency - 31 33 9 2

1 answer

To find the probability that a random donor has type A blood, you can use the formula for probability:

\[ P(\text{A}) = \frac{\text{Number of donors with type A}}{\text{Total number of donors}} \]

From the table:

  • Number of donors with type A blood = 33
  • Total number of donors = 75

Now, plug the numbers into the formula:

\[ P(\text{A}) = \frac{33}{75} \]

Now, calculate the fraction:

\[ P(\text{A}) = \frac{33 \div 3}{75 \div 3} = \frac{11}{25} \]

To convert this to a decimal:

\[ P(\text{A}) = 0.44 \]

So the probability that a random donor has type A blood is \(0.44\) or \(44%\).