Probability: Independent and Dependent Events

Probability: Independent and Dependent Events

Draw

Solve the Riddle

​Solution

Multiple Choice

Which of the following shows how to determine when a die is rolled P(multiple of 2 or a multiple of 3)?

• 2/6 + 1/6 - 3/6
• 4/6 + 2/6 - 1/6
• 3/6 + 2/6 - 1/6
• 5/6 + 1/6 - 3/6

Multiple Choice

Which of the following shows how to determine P(odd number or shaded number)?

• 4/8 + 3/8 - 1/8
• 3/8 + 6/8 - 4/8
• 4/8 - 5/8 + 3/8
• 4/8 + 4/8 - 4/8

Multiple Choice

If you roll one die, what is the probability of getting an odd number or a 4?

• 2/3
• 1/3
• 1/2
• 1/6

Multiple Choice

When rolling a 6 sided die, what is the probability of rolling either an even number or a 5?

• 1/2

• 5/6

• 2/3

• 1/12

Multiple Choice

If you draw one card from a standard deck, what is the probability of drawing a 5 or a diamond?

• 2/52
• 4/52
• 16/52
• 26/52

Multiple Choice

A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles.  You choose one marble.   What is the probability of selecting a green or red marble?

• 8/15
• 6/11
• 3/4
• 2/3

Independent & Dependent Events

• Independent - One activity does NOT effect the outcome of a different activity. (REPLACE)

• Dependent - One activity DOES effect the outcome of another activity. (do NOT replace)

Multiple Choice

You roll a number cube twice. The first time is a 3 and the second time is an even number.

• Independent

• Dependent

Multiple Choice

Decide whether each event is independent or dependent.

Mary chooses a game piece from a board game, and then Jason chooses a game piece from the three remaining pieces.

• Independent

• Dependent

Multiple Choice

You randomly draw a marble from a bag of marbles. You get a red and don't put it back into the bag. You draw another marble out of the bag and get a yellow.

• Independent

• Dependent

Multiple Choice

Yuki chooses a book from the shelf to read, then Janette chooses a book from the books that remain.

• Independent

• Dependent

Fill in the Blank

Find the probability of choosing a red marble at random from a bag containing 5 red and 5 white marbles and then flipping a coin and getting heads.

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Multiple Choice

Suppose a number cube is rolled twice. What is the probability that an odd number will show both times?

• 1/3

• 1/2

• 1/6

• 1/4

Multiple Choice

What is the probability of tossing a coin four times and getting tails each time?

• 1/16

• 1/8

• 1/2

• 1/4

Multiple Choice

A coin is tossed and a number cube is rolled. Find the probability,  P(heads and 7).

• 1/14
• 1/2
• 0
• 1/7

Independent Events

• To find the probability that two independent events will happen - MULTIPLY the probabilities of the two events.

Find the probability of choosing a green marble at random from a bag containing 5 green and 10 white marbles and then flipping a coin and getting tails.

Dependent Events

You must determine the effect that the first event has on the probability of the second event.

A reading list contains 5 historical books and 3 science-fiction books. What is the probability that Juan will randomly choose a historical book for his first report and a science-fiction book for his second?

Fill in the Blank

Alice was dealt a hand of cards consisting of 4 black and 3 red cards. Without seeing the cards, what is the probability that the first card will be a black card and the second card will be red?

Multiple Choice

Find the probability of spinning an evenly divided spinner numbered 1-8 and getting a PRIME number on one spin and getting an ODD number on a second spin.

• $$\frac{1}{2}$$

• $$\frac{1}{4}$$

• $$\frac{5}{8}$$

• $$\frac{5}{16}$$

Multiple Choice

What is the probability that Anne will choose 2 apples from a bin of 10 apples, 8 bananas, and 7 oranges? (With No replacement)

• $$\frac{2}{25}$$

• $$\frac{11}{25}$$

• $$\frac{3}{20}$$

• $$\frac{18}{25}$$

Dropdown

Determine whether the scenario is independent or dependent.

Joann flips a coin and gets heads. Then she rolls a 6 on a number cube. This is a(n)

Select answer

scenario.

​Homework

​go to joinmyquiz.com and complete the assignment Independent and Dependent Event