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More Lessons for Grade 6

Math Worksheets

Examples, solutions, videos, worksheets, stories, and songs to help Grade 6 students learn about independent and dependent events in probability.

**Independent vs Dependent Events**

Understanding the difference between Independent and Dependent events.

Example:

Given a bag of 10 marbles where 2 of the marbles are black, what is the probability of pulling a black marble two times in a row?

a) if you put the first marble back in the bag. (Independent Events)

b) if you keep the first marble. (Dependent Events)
**Probability-Independent and Dependent Events**

Independent events are when two or more events have no effect on the occurrence of each other.

Dependent events are when the occurrence of one event has an effect on the other.

Examples:

1. What is the probability that a coin is flipped and land heads up and then a face card is pulled from a deck of 52?

2. If a 4 is rolled with a single six-sided die, what is the probability of all three events occurring?

3. What is the probability of two aces being drawn consecutively from a deck of 52 cards?

4. What is the probability of the third card drawn also being an ace?

5. What is the probability of drawing 3 cards at random which are all aces if each card is replaced between each drawing?

6. What is the probability of drawing 3 cards at random which are all aces if the cards are not replaced between drawing?

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

More Lessons for Grade 6

Math Worksheets

Examples, solutions, videos, worksheets, stories, and songs to help Grade 6 students learn about independent and dependent events in probability.

Understanding the difference between Independent and Dependent events.

Example:

Given a bag of 10 marbles where 2 of the marbles are black, what is the probability of pulling a black marble two times in a row?

a) if you put the first marble back in the bag. (Independent Events)

b) if you keep the first marble. (Dependent Events)

Independent events are when two or more events have no effect on the occurrence of each other.

Dependent events are when the occurrence of one event has an effect on the other.

Examples:

1. What is the probability that a coin is flipped and land heads up and then a face card is pulled from a deck of 52?

2. If a 4 is rolled with a single six-sided die, what is the probability of all three events occurring?

3. What is the probability of two aces being drawn consecutively from a deck of 52 cards?

4. What is the probability of the third card drawn also being an ace?

5. What is the probability of drawing 3 cards at random which are all aces if each card is replaced between each drawing?

6. What is the probability of drawing 3 cards at random which are all aces if the cards are not replaced between drawing?

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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