Resources

Resources

Probability of independent and dependent events

Bob entered his sister into their town's Smelly Shoe Competition. Bob observed contestants of all ages proudly strutting around wearing different kinds of smelly shoes.

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\begin{tabular}{|l|c|c|}

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\hline & Tennis shoes & High heels \\

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18

5

6

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18

3

5

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What is the probability that a randomly selected contestant is under

18

and is wearing high heels?

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Simplify any fractions.

1

.] A particle is moving along a horizontal line and the velocity of the particle is given at various times in the table below.

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\begin{tabular}{|c|c|c|c|c|}

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\mathrm{t}(\mathrm{hr})

1

4

9

10

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\mathrm{v}(\mathrm{t})(\mathrm{m} / \mathrm{hr})

3

7

12

7

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Is there a time

\mathrm{c}, 4<c<10

\mathrm{a}(\mathrm{c})=0

? Explain your reasoning.

Asia is doing an art project with different colours of sand to be displayed in a clear

2

litre jar. She wants to use

\frac{1}{2}

litre of red sand,

\frac{1}{4}

litre of blue sand,

\frac{3}{8}

litre of green sand, and

\frac{5}{8}

litre of purple sand. Is the jar large enough for Asia's project? Explain how you know.

You flip a coin twice.

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What is the probability of getting tails and then getting tails?

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Write your answer as a percentage.

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\_\_\_\_\%

6

-sided die two times.

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What is the probability of rolling a number less than

4

and then rolling a number greater than

3

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Write your answer as a percentage.

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\_\_\_\_\%

6

-sided die two times.

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What is the probability of rolling a number less than

4

and then rolling a number less than

4

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Write your answer as a percentage.

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\_\_\_\_\%

You flip a coin twice. What is the probability of getting heads and then getting heads?

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Write your answer as a percentage.

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\_\_\_\_\%

6

-sided die two times.

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What is the probability of rolling a number greater than

4

and then rolling a

4

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Simplify your answer and write it as a fraction or whole number.

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6

-sided die two times.

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What is the probability of rolling a number less than

4

and then rolling a

3

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Simplify your answer and write it as a fraction or whole number.

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6

-sided die two times.

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What is the probability of rolling a number greater than

5

and then rolling a

6

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Simplify your answer and write it as a fraction or whole number.

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6

-sided die two times.

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What is the probability of rolling a

6

and then rolling a number greater than

5

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Simplify your answer and write it as a fraction or whole number.

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6

-sided die two times.

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What is the probability of rolling a number less than

6

and then rolling a number greater than

5

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Simplify your answer and write it as a fraction or whole number.

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You flip a coin twice.

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What is the probability of getting tails and then getting heads?

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Write your answer as a percentage.

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\_\_\_\_\%

6

-sided die two times.

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What is the probability of rolling a number greater than

3

and then rolling a number less than

4

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Write your answer as a percentage.

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\_\_\_\_\_

6

-sided die two times.

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What is the probability of rolling a number greater than

3

and then rolling a number greater than

3

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Write your answer as a percentage.

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\_\_\_\_\_

You pick a card at random. Without putting the first card back, you pick a second card at random.

1 ext{ }2 ext{ }3

What is the probability of picking a

1

and then picking a number greater than

1

? Write your answer as a fraction or whole number. Questions

The table shows the educational attainment of a population, expressed in millions. Find the odds in favor and the odis against a randomly selected member of the population with four years (or more) of college

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\begin{tabular}{|l|c|c|c|c|c|}

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\hline & \begin{tabular}{c}

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4

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\end{tabular} & \begin{tabular}{c}

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4

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\end{tabular} & \begin{tabular}{c}

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4

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\end{tabular} & \begin{tabular}{c}

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4

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\end{tabular} & Total \\

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11

26

20

23

80

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\hline Female &

16

28

22

21

87

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27

54

42

44

167

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The odds in most reduced form, in favor of selecting a member of the population with four years (or more) of college are

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(Simplity your answers)

The table shows the educational attainment of a population, expressed in millions. Find the odds in favor and the odds against a randomly selected member of the population with four years (or more) of college.

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\begin{tabular}{|l|c|c|c|c|c|}

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\hline & \begin{tabular}{c}

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4

\newline

\newline

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\end{tabular} & \begin{tabular}{c}

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4

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\end{tabular} & \begin{tabular}{c}

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4

\newline

\end{tabular} & \begin{tabular}{c}

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4

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\newline

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\end{tabular} & Total \\

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11

26

20

23

80

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\hline Female &

16

28

22

21

87

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27

54

42

44

167

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The odds, in most reduced form, in favor of selecting a member of the population with four years (or more) of college are

\square

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Simplify your answers)

12

11

5

13

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47.62 \%, 10

21

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0

1

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1

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A city council consists of six Democrats and five Republicans. If a committee of seven people is selected, find the probability of selecting four Democrats and three Republicans.

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10

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(Type a fraction. Simplify your answer.)

0

1

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12

-sided die is rolled. The set of equally likely outcomes is

\{1,2,3,4,5,6,7,8,9,10,11,12\}

. Find the probability of rolling a number greater than

22

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9

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The probability of rolling a number greater than

22

\square

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(Type an integer or a simplified fraction.)

You grab a card at random. Without putting the first card back, you grab a second card at random.

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What is the probability of grabbing a Queen and then grabbing a King?

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Write your answer as a fraction or whole number.

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You choose a card at random. Without putting the first card back, you choose a second card at random. What is the probability of choosing a

10

and then choosing a Jack? Write your answer as a fraction or whole number.

You pick a card at random. Without putting the first card back, you pick a second card at random. What is the probability of picking an

8

and then picking a

9

? Write your answer as a fraction or whole number..

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You select a card at random. Without putting the first card back, you select another card at random. What is the probability of selecting a

3

and then selecting a

4

? Write your answer as a fraction or whole number.

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You draw a card at random. Without replacing the first card, you draw a second card at random. What is the probability of drawing a

5

6

? Write your answer as a fraction or whole number.

6

-sided die two times. What is the probability of rolling a number greater than \(3\) and then rolling a number less than \(4\)? Write your answer as a percentage. ____ `%`