7. A married couple is expecting another child. They already have 3 boys. What are the chances of them having another boy? 1/4
8. After having had the four boys the couple is expecting another child. What is the chance of them having another boy? 1/16
9. Suppose a father has 2 genes for eye color (Blue and brown) and the mother also has 2 genes for eye color (blue and brown_ each parent conveys only one gene of a pair. What is the chance that the child will receive a brown gene from the father? 1/4
10. What is the chance that the child will receive a blue gene from the father? 1/2
11. What is the chance that the child with receive 2 blue genes, one from each? 1/2
12. You are trying to predict the outcome of 3 horse races. Horse A is given 3/4 chance to win the 1st race. Horse B is given 1/2 chance and Horse C is given 1/8 chance. You bet on all the horses. What is your chance of winning the triple bet? 3/64
13. There are 3000 bluegill sunfish and 2000 carps. What is the chance a bluegill will bite on your fishing hook? 3000/5000 = 3/5
14. There are 12 coupon books inside a box. 2 of them are \$10 prizes. What is the chance of drawing a \$10 prize? 1/6
15. One batter has an avg or 300 and another has an avg of 200. What is the likelihood that both of them will get a hit in the same inning? HINT: 300 IS 300/1000. 1/4???
16. There are 3 football games in the area this weekend. Al involving evenly matched teams. What chance have you to predict all three winners. 1/27

## Let's go through each question and confirm the answers:

7. A married couple is expecting another child. They already have 3 boys. What are the chances of them having another boy?
The answer is 1/2 or 50%. The gender of each child is independent of the previous ones, so the chances of having a boy or a girl are equal.

8. After having had the four boys, the couple is expecting another child. What is the chance of them having another boy?
The answer is 1/2 or 50%. As mentioned in the previous question, the gender of each child is independent of the previous ones.

9. Suppose a father has 2 genes for eye color (Blue and brown), and the mother also has 2 genes for eye color (blue and brown). Each parent conveys only one gene of a pair. What is the chance that the child will receive a brown gene from the father?
The answer is 1/2 or 50%. Since the father has one brown gene, and he can only pass on one gene to the child, there is an equal chance of the child receiving the brown gene or the blue gene from the father.

10. What is the chance that the child will receive a blue gene from the father?
The answer is also 1/2 or 50%. Like in the previous question, since the father has one blue gene, and he can only pass on one gene to the child, there is an equal chance of the child receiving the blue gene or the brown gene from the father.

11. What is the chance that the child will receive 2 blue genes, one from each parent?
The answer is 1/4 or 25%. To receive two blue genes, both the father and the mother have to pass on their blue gene to the child. The chance of each parent passing on the blue gene is 1/2, so the overall chance is 1/2 multiplied by 1/2, which equals 1/4.

12. You are trying to predict the outcome of 3 horse races. Horse A is given a 3/4 chance to win the 1st race. Horse B is given a 1/2 chance, and Horse C is given a 1/8 chance. You bet on all the horses. What is your chance of winning the triple bet?
To calculate the chance of winning all three bets, you multiply the chances of winning each individual bet. So the chance of winning all three bets is (3/4) * (1/2) * (1/8) = 3/64.

13. There are 3000 bluegill sunfish and 2000 carps. What is the chance a bluegill will bite on your fishing hook?
To calculate the chance, you divide the number of bluegill sunfish by the total number of fishes: 3000/(3000+2000) = 3000/5000 = 3/5.

14. There are 12 coupon books inside a box. 2 of them are \$10 prizes. What is the chance of drawing a \$10 prize?
The chance of drawing a \$10 prize is the number of \$10 prize coupon books divided by the total number of coupon books: 2/12 = 1/6.

15. One batter has an average of 300, and another has an average of 200. What is the likelihood that both of them will get a hit in the same inning?
To calculate the likelihood, you multiply their batting averages: (300/1000) * (200/1000) = 0.3 * 0.2 = 0.06 = 6%.

16. There are 3 football games in the area this weekend, all involving evenly matched teams. What chance do you have to predict all three winners?
Since the football games involve evenly matched teams, the chance of correctly predicting the winner of each game is 1/2. To calculate the chance of predicting all three winners correctly, you multiply the individual chances: (1/2) * (1/2) * (1/2) = 1/8 or 12.5%.