Question
If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are mutually exclusive.
(1 Point)
True
False
A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose one marble. What is the probability of selecting a green or red marble?
(1 Point)
3/4
2/3
8/18
6/11
If you roll one die, what is the probability of getting an odd number or a 4?
(1 Point)
1/2
1/3
1/6
2/3
Two events are mutually inclusive if
(1 Point)
they can occur at the same time
they cannot occur at the same time
If you are picking a card randomly from a deck of cards, the events of picking an ace and picking a ‘3’ are mutually exclusive.
(1 Point)
True
False
A die is rolled. What is the probability of rolling a 5 or a number greater than 3?
(1 Point)
1
1/2
2/3
5/6
Is the following mutually exclusive or inclusive?
Probability of drawing a queen or a diamond from a standard deck of cards.
(1 Point)
Exclusive
Inclusive
Which of the following shows how to determine P(shaded number or number less than five)?
(1 Point)
4/9 + 2/8 - 4/8
4/8 + 6/8 + 2/8
4/8 + 4/8 - 2/8
2/8 + 4/8 - 4/8
Two events are mutually exclusive if
(1 Point)
they can occur at the same time.
they cannot occur at the same time.
Is the following mutually exclusive or inclusive?
A jar contains 9 balls, numbered from one to nine. You randomly pick a ball. What is the probability that you select a one or a six?
(1 Point)
Exclusive
Inclusive
(1 Point)
True
False
A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose one marble. What is the probability of selecting a green or red marble?
(1 Point)
3/4
2/3
8/18
6/11
If you roll one die, what is the probability of getting an odd number or a 4?
(1 Point)
1/2
1/3
1/6
2/3
Two events are mutually inclusive if
(1 Point)
they can occur at the same time
they cannot occur at the same time
If you are picking a card randomly from a deck of cards, the events of picking an ace and picking a ‘3’ are mutually exclusive.
(1 Point)
True
False
A die is rolled. What is the probability of rolling a 5 or a number greater than 3?
(1 Point)
1
1/2
2/3
5/6
Is the following mutually exclusive or inclusive?
Probability of drawing a queen or a diamond from a standard deck of cards.
(1 Point)
Exclusive
Inclusive
Which of the following shows how to determine P(shaded number or number less than five)?
(1 Point)
4/9 + 2/8 - 4/8
4/8 + 6/8 + 2/8
4/8 + 4/8 - 2/8
2/8 + 4/8 - 4/8
Two events are mutually exclusive if
(1 Point)
they can occur at the same time.
they cannot occur at the same time.
Is the following mutually exclusive or inclusive?
A jar contains 9 balls, numbered from one to nine. You randomly pick a ball. What is the probability that you select a one or a six?
(1 Point)
Exclusive
Inclusive
Answers
GPT-4o mini
Here are the answers to your questions:
1. **If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are mutually exclusive.**
- **Answer:** **False** (Because the Jack of Hearts is both a jack and a heart, so they are not mutually exclusive.)
2. **A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose one marble. What is the probability of selecting a green or red marble?**
- Total marbles = 9 (green) + 5 (yellow) + 6 (red) = 20.
- Green or Red = 9 (green) + 6 (red) = 15.
- Probability = 15/20 = 3/4.
- **Answer:** **3/4**
3. **If you roll one die, what is the probability of getting an odd number or a 4?**
- Odd numbers on a die: 1, 3, 5 (3 odd numbers).
- The number 4 is an additional favorable outcome.
- Total favorable outcomes = 3 (odd numbers) + 1 (4) = 4.
- Probability = 4/6 = 2/3.
- **Answer:** **2/3**
4. **Two events are mutually inclusive if**
- **Answer:** **they can occur at the same time.**
5. **If you are picking a card randomly from a deck of cards, the events of picking an ace and picking a ‘3’ are mutually exclusive.**
- **Answer:** **True** (Since a card cannot be both an ace and a ‘3’ at the same time.)
6. **A die is rolled. What is the probability of rolling a 5 or a number greater than 3?**
- Numbers greater than 3 are 4, 5, and 6 (3 outcomes).
- Total favorable outcomes = 1 (rolling a 5) + 2 (4, 6) = 3.
- Probability = 3/6 = 1/2.
- **Answer:** **1/2**
7. **Is the following mutually exclusive or inclusive? Probability of drawing a queen or a diamond from a standard deck of cards.**
- **Answer:** **Inclusive** (Because the Queen of Diamonds satisfies both conditions.)
8. **Which of the following shows how to determine P(shaded number or number less than five)?**
- This question seems incomplete without the context or the figure referenced. Please provide the options for clarification.
9. **Two events are mutually exclusive if**
- **Answer:** **they cannot occur at the same time.**
10. **Is the following mutually exclusive or inclusive? A jar contains 9 balls, numbered from one to nine. You randomly pick a ball. What is the probability that you select a one or a six?**
- **Answer:** **Exclusive** (Because a ball cannot be both a one and a six at the same time.)
If you need any further assistance or explanation, feel free to ask!
1. **If you are picking a card randomly from a deck of cards, the events of picking a jack and picking a heart are mutually exclusive.**
- **Answer:** **False** (Because the Jack of Hearts is both a jack and a heart, so they are not mutually exclusive.)
2. **A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose one marble. What is the probability of selecting a green or red marble?**
- Total marbles = 9 (green) + 5 (yellow) + 6 (red) = 20.
- Green or Red = 9 (green) + 6 (red) = 15.
- Probability = 15/20 = 3/4.
- **Answer:** **3/4**
3. **If you roll one die, what is the probability of getting an odd number or a 4?**
- Odd numbers on a die: 1, 3, 5 (3 odd numbers).
- The number 4 is an additional favorable outcome.
- Total favorable outcomes = 3 (odd numbers) + 1 (4) = 4.
- Probability = 4/6 = 2/3.
- **Answer:** **2/3**
4. **Two events are mutually inclusive if**
- **Answer:** **they can occur at the same time.**
5. **If you are picking a card randomly from a deck of cards, the events of picking an ace and picking a ‘3’ are mutually exclusive.**
- **Answer:** **True** (Since a card cannot be both an ace and a ‘3’ at the same time.)
6. **A die is rolled. What is the probability of rolling a 5 or a number greater than 3?**
- Numbers greater than 3 are 4, 5, and 6 (3 outcomes).
- Total favorable outcomes = 1 (rolling a 5) + 2 (4, 6) = 3.
- Probability = 3/6 = 1/2.
- **Answer:** **1/2**
7. **Is the following mutually exclusive or inclusive? Probability of drawing a queen or a diamond from a standard deck of cards.**
- **Answer:** **Inclusive** (Because the Queen of Diamonds satisfies both conditions.)
8. **Which of the following shows how to determine P(shaded number or number less than five)?**
- This question seems incomplete without the context or the figure referenced. Please provide the options for clarification.
9. **Two events are mutually exclusive if**
- **Answer:** **they cannot occur at the same time.**
10. **Is the following mutually exclusive or inclusive? A jar contains 9 balls, numbered from one to nine. You randomly pick a ball. What is the probability that you select a one or a six?**
- **Answer:** **Exclusive** (Because a ball cannot be both a one and a six at the same time.)
If you need any further assistance or explanation, feel free to ask!