This document discusses mutually exclusive events and provides examples using cards and dice. It begins by asking the reader to identify mutually exclusive events from scenarios involving drawing cards from a deck. It then presents an activity using cards to illustrate mutually exclusive events. The document discusses that mutually exclusive events cannot occur at the same time, while events that share outcomes are not mutually exclusive. It provides examples using Venn diagrams and evaluates understanding with multiple choice questions involving cards, dice, and coins.

1. If a card is drawn from an ordinary deck of 52 cards, find the probability tha
t the card is a. a red card? b. a diamond card of a black card? c. a diamond card or a
face card?
If a card is drawn from an ordinary deck of 52 cards, find the probability that the card is a. a red
card? b. a diamond card of a black card? c. a diamond card or a face card?

2. Rearrange the set of letters to form
a new word related to probability.

3. 1.inoun
2. ritenecitson
3. Veten
4. myultalu
5.Esculixve

4. Developmental Activity:
From the previous activity using the same deck of
cards, let us illustrate mutually exclusive events .
a. a number from 2 to 5 or a face card
b. a face card or a black card

7. • What do you observed about the activity?
• Was it easy for you to decide what event to
choose?
• Is it possible to choose both?
• Can it happen at the same time?
• What do you call an event that can happen at
the same time?
• What do you call an event that cannot
happen at the same time?

8. PURPOSE

9. • Turning left and turning right are Mutually Exclusive (you can't do both at
the same time)
• Tossing a coin: Heads and Tails are Mutually Exclusive. Cards: Kings and
Aces are Mutually Exclusive
• What is not Mutually Exclusive:
• Turning left and scratching your head can happen at the same time.
• Kings and Hearts, because we can have a King of Hearts! It can also be
presented using Venn diagram Like here:

11. PRESENTING EXAMPLES

12. From a deck of 52 cards, what is the probability that the card is a number from 2
to 5 or a face card? The event of a number from 2 to 5 is drawn and the event
of a face card is drawn have no elements in common, hence these are mutually
exclusive events. Let A be the event that a number from 2 to 5 is drawn. Let F
be the event that a face card is drawn.

13. PRACTICAL
APPLICATION

18. GENERALIZATION

19. Mutually Exclusive Events – events that have no outcomes in
common. This also means that if two or more events are mutually
exclusive, they cannot happen at the same time.
Not Mutually Exclusive Events - events that have outcomes in
common. Events can happen at the same time.

20. EVALUATION

21. MULTIPLE CHOICE: Choose the letter of the best answer.
1. Which of the following is a mutually exclusive event?
a. Drawing a queen or diamond from a standard deck of cards.
b. Rolling a 3 or 4 on a single roll of number cube?
c. Rolling a number greater than 8 and rolling an even number when
a pair of dice is rolled.
d. A card selected from a deck will be either an ace or a spade.

22. 2. Which of the following is a mutually exclusive event?
a. A card selected from a deck will be either a black or a king.
b. A card selected from a deck will be either a queen or a king.
c. A card selected from a deck will be either an ace or a king.
d. A card selected from a deck will be either an ace or a spade.

23. 3. Which of the following is not mutually exclusive event?
a. Toss a coin and rolling a number cube.
b. Rolling a 3 or 5 on a single roll of a number cube.
c. Drawing a 3 and a diamond from a standard deck of cards.
d. Rolling a number greater than 3 or a multiple of 3 when a pair of
dice is rolled.

24. 4. Which one of the following events is mutually exclusive?
a. a dice rolling a 4
b. a dice rolling 3 and then 4
c. a pair of dice rolling 4 and 2
d. a pair of dice rolling 6 and 6

25. 5. Which of these is a mutually non exclusive event?
a. rolling an 8 on a six sided die
b. getting four 5 balls in a row from the same lottery machine with
35 balls
c. getting a head and a tail
d. rolling a 3 on a 3 sided die