IXL - Probability: mixed review (Geometry practice)

You pick a card at random, put it back, and then pick another card at random.

What is the probability of picking a prime number and then picking an even number?

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

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Learn with an example

question

You pick a card at random, put it back, and then pick another card at random.

What is the probability of picking a number less than 3 and then picking an odd number?

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

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 less than 3 and odd are independent. The first card does not affect the second card.

Find P(less than 3). There are 6 cards, numbered 1, 2, 3, 4, 5, and 6. The numbers less than 3 are 1 and 2. There are 2 numbers less than 3.

P(less than 3)

Find P(odd). The odd numbers are 1, 3, and 5. There are 3 odd numbers.

P(odd)

Find the probability of picking a number less than 3 and then picking an odd number. Multiply P(less than 3) by P(odd).

P(less than 3) x P(odd)

Write your answer in simplest form.

The probability of picking a number less than 3 and then picking an odd number is

Looking for more? Try these:

Lesson: Probability

Lesson: Compound probability

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Work it out

Not feeling ready yet? These can help:

AA.1Theoretical and experimental probability

AA.4Probability of independent and dependent events

AA.2Outcomes of compound events

Lesson: Probability

Lesson: Compound probability

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