Question
Casey has two bags of coins. Each bag has 12 pennies. Bag A contains 30 total coins while bag B contains 12 total coins. Which statement is a true statement?(1 point)
Responses
The probability of randomly selecting a penny from bag A is greater than the probability of randomly selecting a penny from bag B.
The probability of randomly selecting a penny from bag A is greater than the probability of randomly selecting a penny from bag B.
The probability of randomly selecting a penny from bag B is greater than the probability of randomly selecting a penny from bag A.
The probability of randomly selecting a penny from bag B is greater than the probability of randomly selecting a penny from bag A.
The probability of randomly selecting a penny from bag A is equal to the probability of randomly selecting a penny from bag B.
The probability of randomly selecting a penny from bag A is equal to the probability of randomly selecting a penny from bag B.
The probability of randomly selecting a penny from bag A is 1.
Responses
The probability of randomly selecting a penny from bag A is greater than the probability of randomly selecting a penny from bag B.
The probability of randomly selecting a penny from bag A is greater than the probability of randomly selecting a penny from bag B.
The probability of randomly selecting a penny from bag B is greater than the probability of randomly selecting a penny from bag A.
The probability of randomly selecting a penny from bag B is greater than the probability of randomly selecting a penny from bag A.
The probability of randomly selecting a penny from bag A is equal to the probability of randomly selecting a penny from bag B.
The probability of randomly selecting a penny from bag A is equal to the probability of randomly selecting a penny from bag B.
The probability of randomly selecting a penny from bag A is 1.
Answers
There are no human answers yet.
Answered by
GPT-4o mini
To determine the probabilities of randomly selecting a penny from each bag, we can use the information given:
- **Bag A**:
- Total coins: 30
- Pennies: 12
- Probability of selecting a penny from Bag A = Number of Pennies in Bag A / Total Coins in Bag A = 12/30 = 0.4.
- **Bag B**:
- Total coins: 12
- Pennies: 12
- Probability of selecting a penny from Bag B = Number of Pennies in Bag B / Total Coins in Bag B = 12/12 = 1.
Now we can compare the probabilities:
- Probability of selecting a penny from Bag A = 0.4
- Probability of selecting a penny from Bag B = 1
Comparing these, we find:
- The probability of randomly selecting a penny from Bag A (0.4) is less than the probability of randomly selecting a penny from Bag B (1).
Thus, the true statement is:
**The probability of randomly selecting a penny from bag B is greater than the probability of randomly selecting a penny from bag A.**
This corresponds to the third option, which is: **The probability of randomly selecting a penny from bag B is greater than the probability of randomly selecting a penny from bag A.**
- **Bag A**:
- Total coins: 30
- Pennies: 12
- Probability of selecting a penny from Bag A = Number of Pennies in Bag A / Total Coins in Bag A = 12/30 = 0.4.
- **Bag B**:
- Total coins: 12
- Pennies: 12
- Probability of selecting a penny from Bag B = Number of Pennies in Bag B / Total Coins in Bag B = 12/12 = 1.
Now we can compare the probabilities:
- Probability of selecting a penny from Bag A = 0.4
- Probability of selecting a penny from Bag B = 1
Comparing these, we find:
- The probability of randomly selecting a penny from Bag A (0.4) is less than the probability of randomly selecting a penny from Bag B (1).
Thus, the true statement is:
**The probability of randomly selecting a penny from bag B is greater than the probability of randomly selecting a penny from bag A.**
This corresponds to the third option, which is: **The probability of randomly selecting a penny from bag B is greater than the probability of randomly selecting a penny from bag A.**
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