IXL - Probability of independent and dependent events (Algebra 1 practice)

You pick a card at random. Without putting the first card back, you pick a second card at random.

What is the probability of picking a 6 and then picking a number less than 8?

Simplify your answer and write it as a fraction or whole number.

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Learn with an example

question

You flip a coin twice.

What is the probability of getting heads and then getting tails?

Write your answer as a percentage.

key idea

Two events are independent if the outcome of the first event does not affect the outcome of the second event.

solution

The events heads and tails are independent. The first flip does not affect the second flip.

Find P(heads). Flipping a coin has two possibilities: heads or tails.

P(heads)

Find P(tails).

P(tails)

Find the probability of getting heads and then getting tails. Multiply P(heads) by P(tails).

P(heads) x P(tails)

Write your answer as a decimal. Then convert your answer to a percentage.

0.25

25%

The probability of getting heads and then getting tails is 25%.

Looking for more? Try these:

Lesson: Compound probability

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Teacher tools

Work it out

Not feeling ready yet? These can help:

KK.1Theoretical probability

KK.6Identify independent and dependent events

L.7Multiply two fractions

JJ.4Find probabilities using two-way frequency tables

Lesson: Compound probability

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