	
Number of
Girls x
​P(x)
 
0
0.0030.003
1
0.0110.011
2
0.1060.106
3
0.2430.243
4
0.2740.274
5
0.2430.243
6
0.1060.106
7
0.0110.011
8
0.0030.003
 
Find the probability of getting exactly 6 girls in 8 births.


To find the probability of getting exactly 6 girls in 8 births, you can simply use the probability distribution provided.

From the table:

- The number of girls \( x = 6 \)
- The corresponding probability \( P(x = 6) = 0.106 \)

Thus, the probability of getting exactly 6 girls in 8 births is \( 0.106 \) or 10.6%.

Would you like more details on how this is part of a binomial distribution or any other clarification?

Here are 5 related questions to expand on this:
1. What is the total probability of all possible outcomes (0 to 8 girls)?
2. How do you calculate the expected number of girls in 8 births?
3. What is the probability of getting at least 5 girls in 8 births?
4. How would you calculate the probability of getting fewer than 3 girls in 8 births?
5. What is the variance and standard deviation for the number of girls in 8 births?

**Tip:** When analyzing probability distributions, always ensure that the sum of probabilities for all possible outcomes equals 1. This helps confirm the validity of the distribution.

Find the probability of getting exactly 6 girls in 8 births. Given the distribution: Number of Girls | P(x): 0 (0.003), 1 (0.011), 2 (0.106), 3 (0.243), 4 (0.274), 5 (0.243), 6 (0.106), 7 (0.011), 8 (0.003).

Learn how to find the probability of getting exactly 6 girls in 8 births using binomial distribution. Explore key probability concepts and understand how the sum of probabilities equals 1. Perfect for students in Grades 9-12.

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