1. Click on one of the boxes and begin Mutually Exclusive Events
A Student’s Guide to Finding the Probability of Mutually Exclusive and Dependent Events
Standard: MM1D2 a. Students will find the probability of mutually exclusive events.
Click on one of the boxes and begin
Dependent Events
Practice
Mutually Exclusive Events
Practice

2. What makes two events mutually exclusive in the first place?
Press me to watch a video to help you understand mutually exclusive events.
Identify the mutually exclusive events below.
1. The probability of picking a four or a king from a standard deck of playing cards.
2. The probability of picking a heart or a king from a standard deck of playing cards.
What is in a deck of cards again?

3. I’m afraid you are mistaken. These events have a common outcome.
King of Hearts
Hearts:
2, 3, 4, 5, 6, 7,
8, 9, 10, Jack,
Queen
All Kings:
King of Spades
King of Diamonds
King of Clubs

4. You need a little help identifying mutually exclusive events.
Remember mutually exclusive events do not have any outcomes in common
Click on the link to practice finding mutually exclusive events.
Try Again
Take me to the website

5. Standard Deck of Cards There are four suites Hearts Diamonds Spades
Clubs
Each suite also has: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King and Ace.

6. You are correct!
Now let’s see if you can find the probability of picking a four or a king from a standard deck of playing cards.

7. I know I need to Add.
I’m not sure

8. You got it
Keep up the good work!

9. Let’s read the problem again.
Find the probability of picking a four or a king from a standard deck of playing cards.
Since we are only picking one card and the events we are looking for are mutually exclusive (have no common outcomes) then we need to add.
Is the problem asking us to pick more than one card at a time?
Also, did you notice the OR?
OR usually means to add in probability
No, only one card is chosen

10. Now let’s find the probability of picking a four.
How many fours are there in a standard deck of playing cards?
That makes the probability of picking a four
If you said four, you are correct.
How many cards are there in a standard deck of playing cards?
If you said 52, you are correct.

11. Almost done. Let’s find the probability of picking a king.
How many kings are there in a standard deck of playing cards?
That makes the probability of picking a king
If you said four, you are correct.
How many cards are there in a standard deck of playing cards?
If you said 52, you are correct.

12. Finally, we put it all together….
The last step is to add the probability of picking a 4 with the probability of picking a king.
So we have a chance of
picking a four or a king.

13. Now it is time to practice
Click on the link below and you will find some practice as well as a little more guidance about finding the probability of mutually exclusive events.
Remember to come back here when you finish the linked page.

14. It’s time to take the real quiz now!
Click on the link below to begin your quiz.
Good luck!!! (not like you need it)
Take the QUIZ!
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15. Can you tell which events are dependent?
Click on the box that asks you to find the probability of dependent events.
Watch a video demonstrating dependent events
Brian draws two cards from a standard deck of cards. Find the probability he drew an 8 and then drew a heart with replacing the first card.
What’s in a standard deck again?
Alan draws two cards from a standard deck of cards. Find the probability he drew a 6 and then drew a queen without replacing the first card.

16. You are correct!!
Now let’s find Alan’s chance of picking a 6 and then a queen without replacing the first card.

17. Standard Deck of Cards There are four suites Hearts Diamonds Spades
Clubs
Each suite also has: 2, 3, 4, 5, 6, 7, 8, 9, 10, Jack, Queen, King and Ace.

18. I know I need to MULTIPLY and adjust the denominator
I’m not sure
I know I need to MULTIPLY and adjust the denominator

20. Your turn
Find the probability of picking a jack and then picking another jack without replacing the first card. (you are using a standard deck of playing cards)

21. You got it!!! Take me to the QUIZ! MENU
I think you are ready to take the quiz!
Click on the document below to take the quiz.
Take me to the QUIZ!
MENU

22. I want to practice some more
So Close….
When you are picking the same type of card, you have to assume you got the card on the first pick.
In other words….you took the jack the first time so now there are not 4 any more.
I want to practice some more
Try again

23. I want to practice some more
So Close….
When you are picking two cards without replacing, you have to adjust the denominator.
In other words….you took the first card out and didn’t put it back. There are no longer 52 cards in the deck.
I want to practice some more
Try again

24. Let’s read the problem again.
Alan draws two cards from a standard deck of cards. Find the probability he drew a 6 and then drew a queen without replacing the first card
Are you drawing more than one card out of the deck?
When picking more than one event at a time, you should multiply.
AND means to multiply
Yes, we are picking one and then a second one.

25. Take another look Did Brian put back his card?
Brian draws two cards from a standard deck of cards. Find the probability he drew an 8 and then drew a heart with replacing the first card.
Yes, then his second pick is not impacted by his first pick.
In other words…all the cards are in the deck for the second pick.
Try again

26. Click on the link below to practice finding the probability of dependent events.
Click HERE!
Try again