IXL - Probability of compound events (Geometry practice)

What is the probability of rolling a four on the first die and a four on the second die?

Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.

ref_doc_title.

Learn with an example

question

What is the probability of flipping heads and rolling a one?

Write your answer as a fraction or a whole number. With fractions, use a slash ( / ) to separate the numerator and denominator.

key idea

The probability is the number of favorable outcomes out of the number of possible outcomes. The number of outcomes for a compound event is the product of the number of outcomes for each individual event.

solution

Find the number of possible outcomes for the coin. The coin has two sides, so there are 2 possible outcomes.

Find the number of possible outcomes for the die. There are 6 numbers on the die, so there are 6 possible outcomes.

Multiply to find the number of combinations:

2 × 6 = 12

There are 12 possible outcomes overall.

Find the number of favorable outcomes for the coin. 1 side is heads, so there is 1 favorable outcome.

Find the number of favorable outcomes for the die. There is 1 one on the die, so there is 1 favorable outcome.

Multiply to find the number of combinations:

1 × 1 = 1

There is 1 favorable outcome overall.

The probability of flipping heads and rolling a one is 1 out of 12, or 1/12.

Looking for more? Try these:

Lesson: Compound probability

$Confetti$

Excellent!

Now entering the Challenge Zone—are you ready?

Questions
answeredQuestions

Time
elapsedTime

hr	min	sec
00	00	02

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? These can help:

AA.2Outcomes of compound events

JJ.1Probability of simple events

Lesson: Compound probability

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!