IXL | Sample spaces for compound events

Martha rolls this die once and chooses one of these cards.

Which tree diagram represents the sample space of this compound event?

ref_doc_title.

Learn with an example

question

Marshall picks one of these tiles and flips this coin one time.

Five tiles and a dime. There is one letter on each tile. The letters are "A," B, C, D, and "E."

Which tree diagram represents the sample space of this compound event?

key idea

The sample space of an event is the set of all possible outcomes of the event.

A compound event is made up of two or more simple events.

You can represent the sample space of an event with a tree diagram. Make one branch for each outcome.

solution

This compound event is made of two simple events:

picking a tile and
flipping a coin.

You can represent the sample space of the compound event with a tree diagram.

There are 5 tiles: 1 with an A, 1 with a B, 1 with a C, 1 with a D, and 1 with an E. So, the first row of the tree diagram will have 5 branches.

The coin has 2 sides: 1 with heads (H) and 1 with tails (T). So, each branch will have 2 more branches.

Notice there are 10 branches on the bottom row of the tree diagram. Each of these branches represents 1 of the 10 equally likely outcomes in the sample space:

picking the A tile and flipping heads
picking the A tile and flipping tails
picking the B tile and flipping heads
picking the B tile and flipping tails
picking the C tile and flipping heads
picking the C tile and flipping tails
picking the D tile and flipping heads
picking the D tile and flipping tails
picking the E tile and flipping heads
picking the E tile and flipping tails

Looking for more? Try this:

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	04

SmartScore
out of 100
IXL's SmartScore is a dynamic measure of progress towards mastery, rather than a percentage grade. It tracks your skill level as you tackle progressively more difficult questions. Consistently answer questions correctly to reach excellence (90), or conquer the Challenge Zone to achieve mastery (100)! Learn more

Teacher tools

Work it out

Not feeling ready yet? This can help:

II.1Sample spaces of simple events

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!