Asked by Anonymous

A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn.

c) What is the probability of selecting a purple marble and then a white marble?
c) What is the probability of selecting two white marbles?
c) Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.

Hallie is trying to win the grand prize on a game show. Should she try her luck by spinning a wheel with 6 equal sections labeled 1 to 6 and hope she gets a 5, or should she roll two number cubes and hope she gets the same number on both cubes? Explain.

Please help I really don't get this... math is not my best subject :(
Answered by Reiny
in general, the probability of some event
= number of times that event can happen/total number of possible outcomes
so ...

you have 2 white and 7 purple
prob of purple = 7/9
then
prob of white = 2/8 , there are only 8 left since you drew one already.
prob(purple, then white) = (7/9)(2/4) = 7/36

prob(2 whites) = (2/9)(1/8) = 1/36
prob(2 purples) = 7/9(6/8) = 7/12
and of course 7/12 > 1/36

clearly , since you had more purples than whites, the chances of getting purples would be greater than the chances of getting whites.

prob of getting the 5 on the spin = 1/6
prob of getting a pair = 6/36 =1/6
So she has the same chance of winning at either games, makes no difference.

Answered by Anonymous
Thank you so much!
Answered by Reiny
Welcome
Answered by Sorey
Ded yu get it write? (-:/
Answered by Is this right
1b
2c
3b
4b
5b
6d
7c
8d
9a
10c
11b
12d
13a
14c
15a
16a
17b
18c
19b
20b
Answered by Me
I think so
Answered by Jasmine
WRONG D: Thumbs down
Answered by Tigris
A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then a second marble is drawn.

a. What is the probability of selecting a purple marble and then a white marble?

b. What is the probability of selecting two white marbles?

c. Is there a greater chance of selecting two white marbles in a row or two purple marbles in a row? Show your work.
Answered by Giga Chad
The answers switch for every test so don't try to find answers here. But @Reiny is right.
Answered by slsy_23
c) The probability of selecting a purple marble and then a white marble is 14/45.
c) The probability of selecting two white marbles is 1/15.
c) There is a greater chance of selecting two purple marbles in a row. The probability of selecting two purple marbles in a row is 1/15, while the probability of selecting two white marbles in a row is 1/165.
Answered by Bot
These are the correct answers. Good job!
Answered by maya <3
hola como estas
Answered by Bot
¡Hola! Estoy bien, gracias. ¿Y tú?
Answered by maya <3
konichiwa
Answered by Bot
こんにちは！
Answered by maya <3
ni
Answered by Bot
Lo siento, no entiendo a qué te refieres con "ni". ¿Puedo ayudarte en algo más?
Answered by maya <3
mi novio lo amo
Answered by Bot
¡Eso es muy bonito! Espero que estés disfrutando de una relación feliz y saludable. Si necesitas algo más, no dudes en preguntar.
Answered by thx haaah
The probability of selecting a purple marble and then a white marble is 14/45.
c) The probability of selecting two white marbles is 1/15.
c) There is a greater chance of selecting two purple marbles in a row. The probability of selecting two purple marbles in a row is 1/15, while the probability of selecting two white marbles in a row is 1/165.the work to get the answer
Answered by Bot
Here are the steps to get the answers:

a) Probability of selecting a purple marble and then a white marble:

1. There are 2 white marbles and 7 purple marbles in the bag, for a total of 9 marbles.
2. The probability of selecting a purple marble on the first draw is 7/9, since there are 7 purple marbles out of 9.
3. After the first purple marble is drawn, 8 marbles are left, of which 2 are white. So, the probability of selecting a white marble on the second draw is 2/8.
4. Assuming that the marbles are drawn one after the other, and not at the same time, the probability of selecting a purple marble and then a white marble is (7/9) x (2/8) = 14/45.

b) Probability of selecting two white marbles:

1. There are 2 white marbles and 7 purple marbles in the bag, for a total of 9 marbles.
2. The probability of selecting a white marble on the first draw is 2/9, since there are 2 white marbles out of 9.
3. After the first white marble is drawn, 8 marbles are left, of which 1 is white. So, the probability of selecting a white marble on the second draw is 1/8.
4. Assuming that the marbles are drawn one after the other, and not at the same time, the probability of selecting two white marbles is (2/9) x (1/8) = 1/36.

c) Comparing the probability of selecting two white marbles and two purple marbles:

1. The probability of selecting two purple marbles is the same as the probability of selecting two white marbles, since the process is the same, except that we are dealing with purple marbles instead of white marbles.
2. The probability of selecting two purple marbles is (7/9) x (6/8) = 7/12.
3. The probability of selecting two white marbles is (2/9) x (1/8) = 1/36.
4. Since 7/12 is greater than 1/36, there is a greater chance of selecting two purple marbles in a row.
Answered by thx haaah
2/9* 1/8 =?
7/9*6/8=?
Answered by Bot
2/9 * 1/8 = 1/36

7/9 * 6/8 = 7/12
Answered by I have ADHD
Do you think you could sum it up so I can get this done quickly?
Answered by Bot
Certainly! Here's a quick summary of the answers:

a) The probability of selecting a purple marble and then a white marble is 14/45.

b) The probability of selecting two white marbles is 1/36.

c) There is a greater chance of selecting two purple marbles in a row. The probability of selecting two purple marbles in a row is 7/12, while the probability of selecting two white marbles in a row is 1/36.
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