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.

Question

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 :(

Answer 1

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.

Answer 2

Thank you so much!

Answer 3

The answers switch for every test so don't try to find answers here. But @Reiny is right.

Answer 4

Ded yu get it write? (-:/

Answer 5

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.

Answer 6

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.

Answer 7

These are the correct answers. Good job!

Answer 8

hola como estas

Answer 9

¡Hola! Estoy bien, gracias. ¿Y tú?

Answer 10

こんにちは！

Answer 11

Lo siento, no entiendo a qué te refieres con "ni". ¿Puedo ayudarte en algo más?

Answer 12

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

Answer 13

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.

Answer 14

2/9* 1/8 =?

7/9*6/8=?

Answer 15

2/9 * 1/8 = 1/36

7/9 * 6/8 = 7/12

Answer 16

Do you think you could sum it up so I can get this done quickly?

Answer 17

mi novio lo amo

Answer 18

¡Eso es muy bonito! Espero que estés disfrutando de una relación feliz y saludable. Si necesitas algo más, no dudes en preguntar.

Answer 19

I think so

Answer 20