https://file.aiquickdraw.com/mathbot/file/1725991144316448zxzei.jpg

Let's analyze the question and data provided in the image step by step:

### Data provided:
- 45.8% of donors had the A antigen.
- 14.6% of donors had the B antigen.
- 4.5% of donors had both A and B antigens.
- 84.4% of donors were Rh+.
- 87.6% of donors had the B antigen or were Rh+.

### Part (b):
The question asks to find the percent of donors that have the **B antigen and are Rh+**.

This involves finding the intersection of those with the B antigen (14.6%) and those who are Rh+ (84.4%).

To calculate this, we use the formula for the intersection of two events:

\[
P(B \cap Rh+) = P(B) \times P(Rh+ | B)
\]

Where:
- \( P(B) = 14.6\% \) (percentage of donors with B antigen).
- \( P(Rh+ | B) \) is the probability that a donor is Rh+ given that they have the B antigen. This is derived from conditional information and percentages, but since this exact information isn't provided explicitly, we'll calculate using estimated intersection directly if needed.

I'll now calculate the percentage.The percentage of donors that have both the **B antigen and are Rh+** is approximately **12.32%**.

Would you like further explanation or clarification on any part of this problem? Here are some related questions you might find helpful:

1. How do you calculate the probability of the union of two events (A or B)?
2. What is the complement rule in probability, and how can it help simplify calculations?
3. How can you use Venn diagrams to represent sets in probability problems?
4. What assumptions can change the outcome in probability if events are dependent rather than independent?
5. What is the significance of conditional probability in real-world scenarios like blood donation?

**Tip:** When dealing with percentages and probability, always check whether events are independent or dependent. This can significantly affect how you calculate intersections or unions.

Find the percent of donors that have the B antigen and are Rh+.

Learn how to calculate the percentage of donors that have the B antigen and are Rh+ using conditional probability and intersection formulas. This problem covers key probability concepts like the intersection of events and the conditional probability formula. Suitable for students in Grades 10-12.

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