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Mathematics 7 Online
OpenStudy (anonymous):

help!

OpenStudy (anonymous):

The number of chips of different colors in Fran's bag is shown below: 9 red chips 4 green chips 15 yellow chips Fran takes out a chip from the bag randomly without looking. He replaces the chip and then takes out another chip from the bag. What is the probability that Fran takes out a green chip in both draws? 4 over 28 multiplied by 4 over 28 equal to 16 over 784 4 over 28 plus 4 over 28 equal to 8 over 56 4 over 28 multiplied by 3 over 27 equal to 12 over 756 4 over 28 plus 3 over 27 equal to 192 over 756

OpenStudy (anonymous):

@Vocaloid

Vocaloid (vocaloid):

number of green chips/number of total chips = ?

OpenStudy (anonymous):

i dont get it

Vocaloid (vocaloid):

number of green chips = ?

OpenStudy (anonymous):

4

Vocaloid (vocaloid):

total number of chips = ?

OpenStudy (anonymous):

4

Vocaloid (vocaloid):

read the problem again.... how many chips are there in total?

Vocaloid (vocaloid):

add all the colors together...

OpenStudy (anonymous):

oh, 28

Vocaloid (vocaloid):

right, so number of green chips/number of total chips = ?

OpenStudy (anonymous):

4/28

Vocaloid (vocaloid):

right. since he picks out two chips (with replacement) we multiply: (4/28)*(4/28) = ?

OpenStudy (anonymous):

0.02040816326

Vocaloid (vocaloid):

as a fraction, please...

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

1/49

Vocaloid (vocaloid):

don't reduce the fraction 4*4 = ?

OpenStudy (anonymous):

16

Vocaloid (vocaloid):

right, and 28*28 = ?

OpenStudy (anonymous):

784

Vocaloid (vocaloid):

right, so (4/28)*(4/28) = 16/784, so our answer is...?

OpenStudy (anonymous):

A!

Vocaloid (vocaloid):

right

OpenStudy (anonymous):

ok next

OpenStudy (anonymous):

Amelia rolls two fair number cubes numbered from 1 to 6. She first defines the sample space as shown below: (1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6) (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6) (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6) (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6) (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6) (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6) Based on the sample space, what is the probability of getting a total of 4? 6 over 36 5 over 36 4 over 36 3 over 36

Vocaloid (vocaloid):

look at each of the ordered pairs, and count how many add up to 4

OpenStudy (anonymous):

what do u mean?

Vocaloid (vocaloid):

ok, the first pair is (1,1), and 1+1 = 2, right? this doesn't add up to 4, so we ignore it and go to the next one, (1,2)...

OpenStudy (anonymous):

ok

Vocaloid (vocaloid):

keep following the pattern and see how many pairs add up to 4

OpenStudy (anonymous):

(1,3) = 4

Vocaloid (vocaloid):

right, keep going...

OpenStudy (anonymous):

(2,2) and (3,1)

Vocaloid (vocaloid):

right, so we have 3 pairs out of 36, so our answer is 3/36

OpenStudy (anonymous):

oh okay! next!

Vocaloid (vocaloid):

how many are there??

OpenStudy (anonymous):

like 10

OpenStudy (anonymous):

but they are quick ones :)

OpenStudy (anonymous):

There are 5 cards with a picture of a rose and 3 cards with a picture of a daisy. Alia keeps all the cards down on a table with the pictures hidden and mixes them up. She then turns over one card and finds the picture of a rose on it. She removes this card from the table and turns over another card without looking. What is the probability that the card that Alia turns over has a rose on it? 4 over 7 5 over 8 5 over 7 4 over 5

Vocaloid (vocaloid):

how many roses does she begin with?

OpenStudy (anonymous):

um, 1

Vocaloid (vocaloid):

read the problem again... how many roses are there at the beginning?

OpenStudy (anonymous):

5

Vocaloid (vocaloid):

ok, after one gets taken away, how many are left?

OpenStudy (anonymous):

3

Vocaloid (vocaloid):

no, please try again... there are 5 to begin with, one gets taken away, how many are left?

OpenStudy (anonymous):

4

Vocaloid (vocaloid):

right... now, let's read the problem again. how many total cards are there at the begining?

OpenStudy (anonymous):

5

Vocaloid (vocaloid):

total cards = roses + daisies = ?

OpenStudy (anonymous):

8

Vocaloid (vocaloid):

right, so we start with 8, then we take one away, how many are left?

OpenStudy (anonymous):

7

Vocaloid (vocaloid):

right, so our probability of getting a rose again is 4/7

OpenStudy (anonymous):

ok so A?

Vocaloid (vocaloid):

yes

OpenStudy (anonymous):

ok next!

OpenStudy (anonymous):

Kate is playing a game at the school carnival. There is a box of marbles, and each box has a white, a green, a blue, and an orange marble. There is also a fair 2-sided coin. How many outcomes are in the sample space for pulling a marble out of the box and tossing the coin? 16 8 6 12

Vocaloid (vocaloid):

(number of colors)*(number of sides on a coin) = ?

OpenStudy (anonymous):

what are the number of colors and number of sides on a coin

Vocaloid (vocaloid):

read the problem...

OpenStudy (anonymous):

um 4 colors and 2 coins?

Vocaloid (vocaloid):

right, so (number of colors)*(number of sides on a coin) = ?

OpenStudy (anonymous):

8

Vocaloid (vocaloid):

right.

OpenStudy (anonymous):

ok next!

OpenStudy (anonymous):

The table below shows the number of shirts of different colors in a closet: Color of Shirt Number Red 1 Blue 6 Green 1 Pink 4 A coin Dennis selects a shirt from the closet randomly without looking. What is the probability that Dennis will select a pink shirt and the coin will land tails up? 5 over 6 3 over 6 4 over 24 2 over 24

Vocaloid (vocaloid):

(number of pink shirts)/(total number of shirts) = ?

OpenStudy (anonymous):

48

Vocaloid (vocaloid):

/ means divide...

Vocaloid (vocaloid):

(4/12)*(1/2) = ?

OpenStudy (anonymous):

1/3

Vocaloid (vocaloid):

let's leave it as 4/12 for now (4/12)*(1/2) = ?

OpenStudy (anonymous):

1/6

Vocaloid (vocaloid):

let's not simplify the fractions, ok? 4*1 = ?

OpenStudy (anonymous):

4

Vocaloid (vocaloid):

and 12*2 = ?

OpenStudy (anonymous):

24

Vocaloid (vocaloid):

right, so (4/12)*(1/2) = 4/24

OpenStudy (anonymous):

ok Amy makes the following statement: "There is a 60% chance of snow tomorrow and a 10% chance I will be late for school." What is the probability that it will snow and Amy will be late for school? 3% 6% 50% 70%

Vocaloid (vocaloid):

multiply the two probabilities together

Vocaloid (vocaloid):

(0.6)*(0.1) = ?

OpenStudy (anonymous):

0.7

Vocaloid (vocaloid):

* means multiply...

Vocaloid (vocaloid):

(0.6)*(0.1) = ?

OpenStudy (anonymous):

0.6

Vocaloid (vocaloid):

no, please try again... what is 0.6 times 0.1? use a calculator if you are not sure...

OpenStudy (anonymous):

0.06

Vocaloid (vocaloid):

right, now convert that to a percentage by multiplying by 100 0.06*100 = ?

OpenStudy (anonymous):

6

Vocaloid (vocaloid):

right, so our final answer is 6%

OpenStudy (anonymous):

ok next! The table below shows the number of marbles of different colors in a bag: Color of Marbles Number of Marbles Pink 5 Blue 2 Green 3 Ursula draws a marble from the bag randomly without looking. She then draws another marble from the bag without replacing the first one. Which expression shows the probability of drawing green marbles in both the trials? 3 over 10 multiplied by 2 over 9 3 over 10 multiplied by 2 over 10 3 over 10 added to 2 over 9 3 over 10 added to 2 over 10

Vocaloid (vocaloid):

(number of green marbles) / (number of total marbles) = ?

OpenStudy (anonymous):

3/10

Vocaloid (vocaloid):

right... that's the first marble. now, we started with 3 green ones, how many are left after we take one away?

OpenStudy (anonymous):

2

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