IXL | Probability of opposite, mutually exclusive, and overlapping events

You spin the spinner once.

345

What is P(odd or less than 5)?

Write your answer as a percentage.

ref_doc_title.

Learn with an example

question

You pick a card at random.

What is P(odd or even)?

Write your answer as a fraction or whole number.

key idea

Mutually exclusive events can never occur at the same time. If A and B are mutually exclusive, then:

P(A or B) = P(A) + P(B)

solution

The events odd and even are mutually exclusive. It's impossible for one of these cards to be both at the same time.

Find P(odd). There are 3 cards, numbered 2, 3, and 4. The only odd number is 3. There is 1 odd number.

P(odd)

Find P(even). The even numbers are 2 and 4. There are 2 even numbers.

P(even)

Find P(odd or even).

P(odd or even)

= P(odd) + P(even)

Write your answer in simplest form.

P(odd or even) = 1

Looking for more? Try these:

Lesson: Probability

$Confetti$

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? These can help:

JJ.1Probability of simple events

K.1Add and subtract fractions with like denominators

Lesson: Probability

Excellent! You got that right!

Jumping to level 1 of 1

Excellent!