Exploring Dependent and Independent Events?

Question

ok i have already done this i passed this with a 85/100

Your car is approaching the toll booth and you are reaching for two coins out of the glove box. In the glove box there are 7 pennies, 3 nickels, 4 dimes, and 1 quarter.

1. What is the probability that the first coin selected is a quarter?

2. What is the probability that the first coin selected is not a nickel?

3. What is the probability that the first coin selected is worth more than 7 cents?

4. On the first selection a nickel is selected and replaced, what is the probability that the second coin selected is a nickel?

5. On the first selection a dime is selected and not replaced, what is the probability that the second coin selected is a dime?

6. On the first selection a penny is selected and not replaced, what is the probability that the second coin selected is a nickel?

7. On the first selection a quarter is selected and not replaced, what is the probability that the second coin selected is a quarter?

Use the following information for questions 8 - 15

You are selecting two cards from a standard deck of 52 cards.

8. What is the probability that the first card selected is a 10?

9. What is the probability that the first card selected is a Jack of Diamonds?

10. What is the probability that the first card selected is a heart?

11. On the first selection a 5 is selected and replaced, what is the probability that the second card selected is a 7?

12. On the first selection a black card is selected and not replaced, what is the probability that the second card selected is black?

13. On the first selection a King is selected and not replaced, what is the probability that the second card selected is a Queen?

14. On the first selection a black card is selected and not replaced, what is the probability that the second card selected is red?

15. On the first selection a diamond is selected and not replaced, what is the probability that the second card selected is red?

Answer 1

1. P(A) = 1/15 = 0.066666666666666666666666666666667

2. P(A') = 1-3/15 = 1 - 0.2 = 0.8

3. P(A) = 5/15 = 0.33333333333333333333333333333333333333...

4. P(A) = 3/15 X 3/15 = 0.04

5. P(A) = 4/15 X 3/14 = 0.057142857142857142857142857142857

6. P(A) = 3/14 = 0.21428571428571428571428571428571

7. P(A) = 0/14 = 0.0

8. P(A) = 4/52 = 0.076923076923076923076923076923077

9. P(A) = 1/52 = 0.019230769230769230769230769230769

10 P(A) = 13/52 = 0.25

11. P(A) = 4/52 = 0.076923076923076923076923076923077

12. P(A) = 26/52 X 25/51 = 0.24509803921568627450980392156863

13. P(A) = 4/51 = 0.078431372549019607843137254901961

14. P(A) = 26/51 = 0.50980392156862745098039215686275

15. P(A) = 13/52 X 25/51 = 0.12254901960784313725490196078431