St. James 04-08-2025 Probability OR & AND

​Take Notes

Open Ended

Determine as many Wordplexers as you can. Type the number then the phrase.

Examples: 2-skirting around the issue

8-balancing act

Be sure to include the two answers given

🎯 Objectives:

• I can determine if events are independent or dependent.

• I can calculate conditional probability in real-world contexts.

• I can apply geometric models (like area) to calculate probability.

​Take out your notes/graphic organizer

Probability

​***Uniform Sample Space = equal chance for all outcomes***

​S=[H,T]



S-[1,2,3,4,5,6]

​12 possible outcomes

Theoretical vs. Experimental Probability

​Let's Practice Probability!

Multiple Choice

P(even) stands for

• Probability of rolling an even number
• Probability of rolling an odd number 
• Probability of not rolling an even number
• Probability of not rolling an odd number 

Multiple Choice

P(event) = number of favorable outcomes

number of possible outcomes

• True

• False

Math Response

There are 52 cards in a standard deck.

P(5) = ?

Type answer here

Correct Answer: \frac{1}{13}

Deg^°

Rad

Math Response

There are 52 cards in a standard deck.

P(red ace) = ?

Type answer here

Correct Answer: \frac{1}{26}

Deg^°

Rad

Math Response

There are 52 cards in a standard deck.

P(greater than 5) = ?

Type answer here

Correct Answer: \frac{5}{13}

Deg^°

Rad

Multiple Choice

A bag contains 5 yellow, 4 green, and 2 blue marbles. One marble is drawn and immediately put back in the bag. Then a second marble is drawn. Identify whether the events are independent or dependent. 

• Independent
• Dependent

Multiple Choice

Independent or Dependent?

• Independent

• Dependent

Multiple Choice

Independent or Dependent?

Kevin had 6 nickels and 4 dimes in his pocket. What is the probability he took out a dime, didn’t replace it and then grabbed another dime.

• Independent

• Dependent

Reorder

Lauren spins the spinner with 8-equal sized sections one time. Drag the tiles to arrange the events in order from least likely to most likely.

• spinning a 4 or 5

• spinning a 6

• spinning an even number

• spinning a number greater than 5

1

2

3

4

• 1
• 2
• 3
• 4

Match

Abigail mom picked up Chick Fil A for dinner. Abigail chose a sauce from the bag. The bag contained

• 4 chick fil a sauces

• 3 Polynesian sauces

• 4 Ranch

• 2 Ketchup

• 1 Bar-B-Que

• The probability of selecting a Chick Fil A Sauce

• The complement of selecting a Polynesian sauce.

• The probability of selecting Ranch or Polynesian.

• P(Ketchup or BBQ)

2/7

11/14

1/2

3/7

• 2/7

• 11/14

• 1/2

• 3/7

Multiple Choice

What is the probability of something that is CERTAIN TO HAPPEN?

• 1

• 2

• 0

Open Ended

A spinner has 5 equal sections (Red, Blue, Green, Yellow, Orange).

P(Green) = ?

Write your answer as a percent.

Multiple Choice

P(not A) = 

• 6/8
• 3/4
• 2/8
• 1/4

Match

Match the Sample Space to Each experiment.

• G for Green

  Y for Yellow

  P for Purple

• A coin is flipped and a spinner numbered 1-4.

• A deck of cards.

{1A, 1B, 1C, 1D, 2A, 2B, 2C, 2D}

{G, G, G. Y, Y, Y, Y, P, P, P}

{1, 1, 2, 2, 6, 6, 6, 9}

{H1, H2, H3, H4,

T1, T2, T3, T4}

{Heart, Spades, Diamond, Club}

• {1A, 1B, 1C, 1D, 2A, 2B, 2C, 2D}

• {G, G, G. Y, Y, Y, Y, P, P, P}

• {1, 1, 2, 2, 6, 6, 6, 9}

• {H1, H2, H3, H4,

  T1, T2, T3, T4}

• {Heart, Spades, Diamond, Club}

Open Ended

A bag contains 4 red, 6 blue, and 5 green marbles.

What is P(not blue)? Write your answer as a fraction.

Open Ended

A spinner has 5 equal sections (Red, Blue, Green, Yellow, Orange).

List the sample space.

Write your answer as S=[your answer]

​More Probability Notes

The Addition Rule

Refresher Probability "OR" so ADD!

Categorize

Options (6)

Deck of cards; drawing a 4 or drawing a 6

Deck of cards; Drawing a 4 or drawing a heart

Select a student; a junior or a senior

Select a student; sophomore or a business major

Chef decides; parmesan chicken or grilled sirloin

Roll a die; get an even number or a number < 3.

Organize these options into the right categories

Mutually Exclusive

Not Mutually Exclusive

Multiple Choice

Amanda spins a spinner numbered 1 to 10. What is the probability that the spinner lands on a an odd number or a number that is divisible by 3?

• $$\frac{3}{20}$$

• $$\frac{1}{5}$$

• $$\frac{3}{5}$$

• $$\frac{4}{5}$$

Multiplication Rule

Multiple Choice

Is the event INDEPENDENT or DEPENDENT?
The spinner is spun twice.  What is the probability that it lands on red first and then blue?

• Independent
• Dependent

Multiple Choice

Is the event INDEPENDENT or DEPENDENT?

Amy plays card games. She picks a card at random. Then WITHOUT putting the first card back, he picks a second card at random.

• Independent

• Dependent

Multiple Choice

Ten cards numbered 1-10 are placed in a hat. What is the probability of randomly drawing a card with an even number then a card with a number greater than or equal to five if the first card is replaced?

• $$\frac{1}{4}$$

• $$\frac{2}{3}$$

• $$\frac{3}{10}$$

• $$\frac{3}{5}$$

Multiple Choice

What is the probability of tossing a coin four times and getting tails each time?

• $$\frac{1}{16}$$

• $$\frac{1}{8}$$

• $$\frac{1}{2}$$

• $$\frac{1}{4}$$

Multiple Choice

A box contains 5 purple marbles, 3 green marbles and 2 orange marbles. Draws are made without replacement. P(both marbles are purple) =

• $$\frac{2}{9}$$

• $$\frac{1}{3}$$

• $$\frac{1}{2}$$

• $$\frac{1}{4}$$

Multiple Choice

A coin and a number cube with the numbers 1 through 6 are tossed. What is the probability of the coin showing tails and the number cube showing the number 3? 

• 1/12
• 1/4
• 1/8
• 1/2

Multiple Choice

Two cards are drawn from a standard deck of cards and no cards are returned to the deck. Identify whether the events are independent or dependent. 

• Independent
• Dependent

Poll

What is your level of confidence of today's lesson?