1. An event that will definitely happen has a probability of 1.
2. Rolling a 7 on a standard six-sided die is an impossible event.
3. If you flip a coin, it is more likely to land on heads than tails.
4. Picking a red marble from a bag with only blue marbles is an unlikely event.
5. Probability helps us predict exactly what will happen in the future.
✏️ 2. Fill in the Blanks
1. An event that has an equal chance of happening or not happening is called .
2. The measure of how likely an event is to occur is called .
3. If an event will never happen, its probability is .
4. A spinner with four equal sections, colored red, blue, green, and yellow, has a chance of landing on red.
5. When an event is very likely to happen, its probability is close to .
🔗 3. Matching
« An event that will never happen.
« An event that will definitely happen.
« An event that has a good chance of happening.
« An event that has a small chance of happening.
« An event that has the same chance of happening as not happening.
✍️ 4. Short Answer Questions
1. What does it mean for an event to be 'likely'?
💡 Suggested Answer: It means the event has a good chance of happening, more than 50% or \( \frac{1}{2} \).
2. Give an example of an 'impossible' event.
💡 Suggested Answer: An example of an impossible event is rolling a 9 on a standard six-sided die, because the die only has numbers 1 through 6.
🎯 5. Multiple Choice
1. A bag contains 3 red, 2 blue, and 5 green marbles. If you pick one marble without looking, which color are you most likely to pick?
2. What is the probability of rolling an even number on a standard six-sided die?
3. Which of the following events is certain to happen?
📝 6. Open-Ended Questions
1. A spinner has 8 equal sections. 3 sections are red, 2 are blue, 1 is yellow, and 2 are green. \\
What is the probability of landing on red? \\
What is the probability of landing on a color that is not blue?
💡 Solution Steps:
Step 1: Find the total number of sections.\\
Total sections = 3 (red) + 2 (blue) + 1 (yellow) + 2 (green) = 8 sections.\\
Step 2: Calculate the probability of landing on red.\\
Number of red sections = 3.\\
Probability of landing on red = \( \frac{\text{Number of red sections}}{\text{Total sections}} \) = \( \frac{3}{8} \).\\
Step 3: Calculate the probability of landing on a color that is not blue.\\
Number of sections that are not blue = Number of red + Number of yellow + Number of green = 3 + 1 + 2 = 6 sections.\\
Probability of landing on not blue = \( \frac{\text{Number of non-blue sections}}{\text{Total sections}} \) = \( \frac{6}{8} \).\\
Step 4: Simplify the probability if possible.\\
\( \frac{6}{8} \) can be simplified by dividing both the numerator and denominator by 2, which gives \( \frac{3}{4} \).\\
Answer: The probability of landing on red is \( \frac{3}{8} \). The probability of landing on a color that is not blue is \( \frac{3}{4} \).
2. You have a deck of 10 cards, numbered 1 through 10. If you pick one card at random, what is the probability of picking an odd number?
💡 Solution Steps:
Step 1: Identify the total number of possible outcomes.\\
There are 10 cards, so the total number of outcomes is 10.\\
Step 2: Identify the number of favorable outcomes (odd numbers).\\
The odd numbers between 1 and 10 are 1, 3, 5, 7, and 9. There are 5 odd numbers.\\
Step 3: Calculate the probability.\\
Probability of picking an odd number = \( \frac{\text{Number of odd numbers}}{\text{Total number of cards}} \) = \( \frac{5}{10} \).\\
Step 4: Simplify the probability.\\
\( \frac{5}{10} \) can be simplified to \( \frac{1}{2} \) by dividing both the numerator and denominator by 5.\\
Answer: The probability of picking an odd number is \( \frac{1}{2} \).
3. Describe an event that is 'unlikely' and explain why it is unlikely.
💡 Solution Steps:
Example of an unlikely event: "It is unlikely for me to find a rare golden coin on the playground during recess today."\\
Explanation: An event is considered 'unlikely' when it has a very small chance of happening. In this example, finding a rare golden coin on a typical playground is highly improbable because playgrounds are not places where such valuable items are commonly found or lost. The odds of this specific event occurring are very low compared to other everyday events.
Name Surname: .................................. Date: .... / .... / 202...
Probability Worksheet
SCORE
A. True (T) / False (F)
( .... )
An event that will definitely happen has a probability of 1.
( .... )
Rolling a 7 on a standard six-sided die is an impossible event.
( .... )
If you flip a coin, it is more likely to land on heads than tails.
( .... )
Picking a red marble from a bag with only blue marbles is an unlikely event.
( .... )
Probability helps us predict exactly what will happen in the future.
B. Fill in the Blanks
1)
An event that has an equal chance of happening or not happening is called .....................
2)
The measure of how likely an event is to occur is called .....................
3)
If an event will never happen, its probability is .....................
4)
A spinner with four equal sections, colored red, blue, green, and yellow, has a .................... chance of landing on red.
5)
When an event is very likely to happen, its probability is close to .....................
C. Matching Concepts
( .... )
An event that will never happen.
- Impossible Event
( .... )
An event that will definitely happen.
- Equally Likely Event
( .... )
An event that has a good chance of happening.
- Certain Event
( .... )
An event that has a small chance of happening.
- Unlikely Event
( .... )
An event that has the same chance of happening as not happening.
- Likely Event
D. Short Answer Questions
1)
What does it mean for an event to be 'likely'?
2)
Give an example of an 'impossible' event.
E. Multiple Choice Questions
1)
A bag contains 3 red, 2 blue, and 5 green marbles. If you pick one marble without looking, which color are you most likely to pick?
A) RedB) BlueC) GreenD) All are equally likely
2)
What is the probability of rolling an even number on a standard six-sided die?
Which of the following events is certain to happen?
A) The sun will rise tomorrow.B) It will rain next Tuesday.C) You will win the lottery.D) A flipped coin will land on heads.
F. Open-Ended Questions
1)
A spinner has 8 equal sections. 3 sections are red, 2 are blue, 1 is yellow, and 2 are green. \\
What is the probability of landing on red? \\
What is the probability of landing on a color that is not blue?
2)
You have a deck of 10 cards, numbered 1 through 10. If you pick one card at random, what is the probability of picking an odd number?
3)
Describe an event that is 'unlikely' and explain why it is unlikely.