Mathematics, 18.03.2020 22:37 alexandergonzalez38

The number of chips of different colors in Vicky's bag is shown below:

5 blue chips
11 pink chips
9 white chips
Vicky takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Vicky takes out a blue chip in both draws? (5 points)

5 over 25 multiplied by 5 over 25 equals 25 over 625
5 over 25 multiplied by 5 over 25 equals 25 over 625
5 over 25 multiplied by 4 over 24 equals 20 over 600
5 over 25 plus 4 over 24 equals 220 over 600
2.
(07.02 LC)
Alicia 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 7? (5 points)

4 over 36
5 over 36
6 over 36
8 over 36
3.
(07.02 MC)
There are 4 cards with a picture of a rose and 3 cards with a picture of a daisy. Fiji keeps all the cards face down on the 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 Fiji turns over has a rose on it? (5 points)

3 over 7
3 over 6
4 over 7
4 over 6
4.
(07.02 LC)
Eva 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? (5 points)

3
9
7
8
5.
(07.01 LC)
The table shows the number of glass bottles of different colors in a shelf. A fair coin is shown below the table.

Color of
Glass Bottle Number
Red
9
Blue
1
Green
6
Purple
4

A coin
Danny selects a glass bottle from the shelf randomly without looking and then tosses the fair coin. What is the probability that he will select a purple glass bottle and that the coin will land heads up? (5 points)

1 over 10
1 over 8
1 over 6
1 over 5

Answers: 1

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Answers

Answer from: Quest

1 1/5

step-by-step explanation:

Answer from: Quest

x= 1

step-by-step explanation: convert 5\frac{11}{12}5

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{5\times 12+11}{12}3.25+0.5x+1

5×12+11

2 simplify 5\times 125×12 to 6060

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{60+11}{12}3.25+0.5x+1

60+11

3 simplify 60+1160+11 to 7171

3.25+0.5x+1\frac{1}{3}+\frac{5}{6}x=\frac{71}{12}3.25+0.5x+1

4 simplify \frac{5}{6}x

x to \frac{5x}{6}

3.25+0.5x+1\frac{1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+1

5 convert 1\frac{1}{3}1

to improper fraction. use this rule: a \frac{b}{c}=\frac{ac+b}{c}a

ac+b

3.25+0.5x+\frac{1\times 3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

1×3+1

6 simplify 1\times 31×3 to 33

3.25+0.5x+\frac{3+1}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

3+1

7 simplify 3+13+1 to 44

3.25+0.5x+\frac{4}{3}+\frac{5x}{6}=\frac{71}{12}3.25+0.5x+

8 simplify 3.25+0.5x+\frac{4}{3}+\frac{5x}{6}3.25+0.5x+

to \frac{13.75}{3}+\frac{4x}{3}

13.75

\frac{13.75}{3}+\frac{4x}{3}=\frac{71}{12}

13.75

9 simplify \frac{13.75}{3}

13.75

to 4.5833334.583333

4.583333+\frac{4x}{3}=\frac{71}{12}4.583333+

10 subtract 4.5833334.583333 from both sides

\frac{4x}{3}=\frac{71}{12}-4.583333

−4.583333

11 simplify \frac{71}{12}-4.583333

−4.583333 to \frac{4}{3}

\frac{4x}{3}=\frac{4}{3}

12 multiply both sides by 33

4x=\frac{4}{3}\times 34x=

×3

13 simplify \frac{4}{3}\times 3

×3 to \frac{12}{3}

4x=\frac{12}{3}4x=

14 simplify \frac{12}{3}

to 44

4x=44x=4

15 divide both sides by 44

x=1

Answer from: Quest

$\frac{1}{12}$

step-by-step explanation:

a cube has 6 sides

the probability of getting 5 on the first cube is 1/6 since only one side of the cube has 5 on it.

there are 3 sides of the cube with even number on it [2,4,6]

therefore the probability of getting even number is 3/6

for both events to happen together, the probability would be

1/6 x 3/6 = 12/36

which simplifies to 1/12

Answer from: Quest

step-by-step explanation:

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You know the right answer?

The number of chips of different colors in Vicky's bag is shown below:

5 blue chips

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