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Probability Tables and Diagrams

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Probability Tables and Diagrams

Probability Tables and Diagrams

Probability dice and coins illustration

🎲 Part 1: Probability Language

1. Match the probability terms with their meanings:
1. "At least"
2. Exclusive "or"
3. Inclusive "or"
4. "And"
A. Either A or B, but not both
B. Both A and B happen
C. A or B or both can happen
D. This many or more
2. Circle the correct probability language for each situation:

Rolling a 3 OR a 5 on a dice:

Exclusive "or"

Inclusive "or"

"And"

Getting heads on a coin AND rolling an even number:

Exclusive "or"

Inclusive "or"

"And"

📊 Part 2: Two-Way Tables

3. Complete this two-way table for rolling a dice and flipping a coin:
4. Using your table above, answer these questions:

a) How many total outcomes are possible? ________

b) What is the probability of getting heads AND an even number?

c) What is the probability of getting tails OR a number greater than 4?

5. A class surveyed students about their favourite sport and gender. Fill in the missing values:

Football: Boys = 8, Girls = 5, Total = ____

Netball: Boys = 2, Girls = 12, Total = ____

Total: Boys = ____, Girls = ____, Overall Total = 27

⭕ Part 3: Venn Diagrams

6. Draw a Venn diagram for the following scenario:

In a class of 20 students: 12 like pizza, 8 like burgers, and 5 like both pizza and burgers.

7. Using your Venn diagram above, calculate:

a) How many students like only pizza? ________

b) How many students like only burgers? ________

c) How many students don't like either food? ________

d) What is the probability a randomly chosen student likes at least one of these foods?

🎯 Part 4: Real-World Applications

8. A school canteen sells sandwiches and drinks. Check all the correct statements:

A student can buy a sandwich OR a drink (exclusive)

A student can buy a sandwich OR a drink (inclusive)

A student can buy a sandwich AND a drink

"At least one item" means one or more items

9. Create your own probability scenario:

Describe a situation where you would use a two-way table or Venn diagram:

10. Reflection: Complete these sentences:

Today I learned that probability tables help me ________________________________

The most challenging part was ____________________________________________

One real-life example where I might use this is ____________________________

🧮 Part 5: Problem Solving

11. Challenge Problem:

In a bag there are 6 red marbles and 4 blue marbles. You draw 2 marbles without replacement. Create a table or diagram to show all possible outcomes and calculate the probability of getting at least one red marble.

Answer: The probability of getting at least one red marble is ________

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