compound events

Match

Match the following terms with the correct definition.

• ​ an event with a single outcome.

• an event composed of two or more simple events.

• the likelihood of an event occurring.

Simple Event

Compound Event

Probability

• Simple Event

• Compound Event

• Probability

Multiple Choice

Is the following event simple or compound:

"The probability of tossing a head when flipping a coin."

• Simple event

• Compound event

Multiple Choice

Is the following event simple or compound:

"The probability of drawing a heart from a deck of cards, replacing the card,   then drawing a spade."

• Simple event

• Compound Event

Multiple Choice

Is the following event simple or compound:

"The probability of drawing a red ace from a deck of cards, not replacing the card, then drawing a black ace."

• Simple event

• Compound Event

Multiple Choice

Is the following event simple or compound:

"The probability of rolling an even number less than 5 on a die."

• Simple event

• Compound Event

Multiple Choice

Sample space describes all the possible ___________ for an event.

• probabilities

• outcomes

• numbers

Multiple Choice

What are ALL the possible outcomes of spinning this spinner?

• { Red, Yellow, Blue}

• {Yellow, Blue, Green}

• {Red, Yellow, Blue, Purple}

• {Red, Yellow, Blue, Green}

Multiple Choice

The Sample Space for rolling a Die is...

• Sample Space: { 1, 2, 3, 4}

• Sample Space: { 1, 2, 3, 4, 5}

• Sample Space: { 1, 2, 3, 4, 5, 6}

• Sample Space: { 1, 2, 3, 4, 5, 6, 7}

Multiple Choice

The cafeteria is serving three kinds of sandwiches:  tuna (T), chicken, (C), and peanut butter (P).  They are also serving a choice of two drinks:  milk (M) or water (W).  Which is the complete set of possibilities of combinations?

• TW, CW, PW

• TW, TM, TW, CW, PW

• TW, TM, CW, CM, PW, PM

​The fundamental counting principle states that if there are p ways to do one thing, and q ways to do another thing, then there are p × q ways to do both things. possible outcomes of the experiment. The counting principle can be extended to situations where you have more than 2 choices.

​Stage 1:  # choices

Stage 2:  # choices

Stage 3:  # choices

……

Stage last: # choices

​

Multiple Choice

How many outfits are possible with 5 pairs of jeans, 8 t-shirts, and 2 pairs of shoes?

• 15

• 40

• 80

• 10

Multiple Select

Which of the following are independent events?

• Rolling a die and flipping a coin

• Drawing two cards from the top of a deck

• Drawing a set of 7 Scrabble tiles

• Flipping a coin ten times in a row

• Spinning a roulette wheel three times

Multiple Choice

Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice.  What is the probability that it lands on red first and then blue?

• Independent

• Dependent

Multiple Choice

Is the event INDEPENDENT or DEPENDENT?
Amy plays card games.  She picks a card at random.  Then without putting the first card back, he picks a second card at random.

• Independent

• Dependent

Drag and Drop

For Independent events, when A occurs, it

Placeholder

affect the probability of B occurring.

Drag these tiles and drop them in the correct blank above

does not

does

Multiple Choice

How do we find compound event?

• dividing simple events

• adding simple events

• multiplying simple events

• subtracting simple events

Rolling the number cube and flipping the coin are two independent events so they don't affect each other, and when they happen at the same time​, all the possible outcomes can be represented with a tree diagram.

​

​

Using a Tree diagram

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

Or using a table

Using a table

Multiple Choice

Is the event INDEPENDENT or DEPENDENT?

Amy plays card games. She picks a card at random. Then without putting the first card back, he picks a second card at random.

• Independent

• Dependent

Multiple Choice

INDEPENDENT or DEPENDENT?

Two fair coins are flipped at the same time.

• Independent

• Dependent

Multiple Choice

INDEPENDENT or DEPENDENT?

Amy plays card games. She picks a card at random. Then WITHOUT putting the first card back, she picks a second card at random.

• Independent

• Dependent

Drag and Drop

For Dependent events, when A occurs, it ​

Placeholder

affect the probability of B occurring.

Drag these tiles and drop them in the correct blank above

does

does not