Two friends are both pregnant, and find out they are each expecting twins! 

Let  
A
  be the event that one friend is pregnant with identical twins, and note that  
P
(
A
)
=
0.0045
 . 
Let  
B
  be the event that the other friend is pregnant with fraternal twins, and note that  
P
(
B
)
=
0.01
 . 
A
  and  
B
  are independent events. What is the probability that one friend is pregnant with identical twins, and one friend is pregnant with fraternal twins?

Give your answer as a percent, rounded to four decimal places if necessary and include the percent sign with your answer.

To find the probability that one friend is pregnant with identical twins and the other friend is pregnant with fraternal twins, we are dealing with the joint probability of two independent events, \( A \) and \( B \).

Given:

- \( P(A) = 0.0045 \) (the probability that one friend is pregnant with identical twins)
- \( P(B) = 0.01 \) (the probability that the other friend is pregnant with fraternal twins)

Since the events are independent, the probability of both events happening simultaneously (i.e., one friend is pregnant with identical twins and the other friend is pregnant with fraternal twins) is simply the product of their individual probabilities:

\[
P(A \cap B) = P(A) \times P(B)
\]

Substitute the given values:

\[
P(A \cap B) = 0.0045 \times 0.01 = 0.000045
\]

To convert this probability into a percentage, multiply by 100:

\[
0.000045 \times 100 = 0.0045\%
\]

Thus, the probability that one friend is pregnant with identical twins and the other friend is pregnant with fraternal twins is:

\[
\boxed{0.0045\%}
\]

Would you like further explanation or have any questions?

Here are five related questions to consider:
1. What is the probability that neither friend is pregnant with twins?
2. How does the probability change if the events are dependent?
3. What is the probability that both friends have fraternal twins?
4. How would the probability change if both friends have identical twins?
5. Can we calculate the probability that at least one of the friends has twins (either identical or fraternal)?

**Tip**: When events are independent, their joint probability is always the product of their individual probabilities.

Two friends are both pregnant, and find out they are each expecting twins! Let A be the event that one friend is pregnant with identical twins, and note that P(A) = 0.0045. Let B be the event that the other friend is pregnant with fraternal twins, and note that P(B) = 0.01. A and B are independent events. What is the probability that one friend is pregnant with identical twins, and one friend is pregnant with fraternal twins? Give your answer as a percent, rounded to four decimal places if necessary and include the percent sign with your answer.

Learn how to calculate the probability that one friend is pregnant with identical twins and the other with fraternal twins. This problem uses key concepts in probability, including independent events and multiplication of probabilities. Suitable for Grades 9-12.

Math Problem Statement

Let
A be the event that one friend is pregnant with identical twins, and note that
P ( A )

0.0045 . Let
B be the event that the other friend is pregnant with fraternal twins, and note that
P ( B )

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