Math-Probability

[reeses4life]

7. A bag containing 4 green marbles, 6 red marbles, 14 orange marbles, 5 brown marbles, and 8 blue marbles. You choose a marble, replace it, and choose again. What is P(red, then blue)?

A. 48/1369
B. 14/1369
C. 27/37
D. 14/37

8. Each of two urns contains green balls an red balls. Urn 1 contains 8 green balls and 12 red balls. Urn 2 contains 5 green balls and 8 red balls. If a ball is drawn from each urn, what is P(red and red)
A. 79/65
B. 24/65
C. 20/33
D. 2/13

10. You have six $1 bills, eight $5 bills, two $10 bills, and four $20 bills in your wallet. You select a bill at random. Without replacing the bill, you choose a second bill. What is P($1, then $10)?
A. 77/190
B. 3/100
C. 3/95
D. 2/5

11. A basket contains the following pieces of fruit: 3 apples, 2 oranges, 2 bananas, 2 pears, and 5 peaches. Jack picks a fruit at random and does not replace it. Then Bethany picks a fruit at random. What is the probability that Jack gets a peach and Bethany gets an orange?

A. 10/27
B.5/91
C.5/98
D.93/182

[fiction-factory]

I'll do the first then leave you to try the other two and post your suggested answer
The first is 6/37 x 8/37

[reeses4life]

I'm sorry,I haven't done this forever, how do I do those again?

[fiction-factory]

The first is simple non-replacement. See if you can follow my calculation. If you can't you need to read up on the basic principles of how to calculate probability.
If you can follow it then try the others. Some are replacement problems, some non-replacement problems.
For

[fiction-factory]

11 is non-replacement

answer = (5/14 ) x (2/13)
You will need to simplify.
Check you know where the figures have come from. (Hint- 14 items initially, 13 left after Jack has picked one)