At Westonci.ca, we make it easy for you to get the answers you need from a community of knowledgeable individuals. Get the answers you need quickly and accurately from a dedicated community of experts on our Q&A platform. Explore comprehensive solutions to your questions from knowledgeable professionals across various fields on our platform.
Sagot :
Alright, let's solve this question step-by-step.
1. Items in the bag:
- There are a total of 2 baseballs (B), 5 tennis balls (T), and 3 whiffle balls (W).
- The total number of balls is [tex]\(2 + 5 + 3 = 10\)[/tex].
2. Probability of pulling out a baseball:
- Reduced Fraction:
The probability (P) of pulling out a baseball is given by the ratio of the number of baseballs to the total number of balls.
[tex]\( P(B) = \frac{\text{Number of baseballs}}{\text{Total number of balls}} = \frac{2}{10} = \frac{1}{5} \)[/tex]
- Decimal:
To convert this fraction to a decimal, divide the numerator by the denominator:
[tex]\( P(B) = 0.2 \)[/tex]
- Percent:
To convert the decimal to a percentage, multiply by 100:
[tex]\( P(B) = 0.2 \times 100 = 20\% \)[/tex]
Therefore, [tex]\( P(B) = \frac{1}{5} \text{ (reduced fraction)} = 0.2 \text{ (decimal)} = 20\% \)[/tex].
3. Type of probability:
- This is an example of theoretical probability as we are calculating probabilities based on the known quantities of the different types of balls.
4. Sample space:
- The sample space includes all possible outcomes. Since there are 10 balls in total, the number of outcomes in the sample space is 10.
- Outcomes [tex]\( = 10 \)[/tex].
5. Choosing a baseball:
- In this context, the event or outcome is defined as selecting a baseball from the sample space.
- Therefore, "choosing a baseball" is the outcome we are looking at.
6. Probability of pulling out a tennis ball:
- Reduced Fraction:
The probability (P) of pulling out a tennis ball is given by the ratio of the number of tennis balls to the total number of balls.
[tex]\( P(T) = \frac{\text{Number of tennis balls}}{\text{Total number of balls}} = \frac{5}{10} = \frac{1}{2} \)[/tex]
- Decimal:
To convert this fraction to a decimal, divide the numerator by the denominator:
[tex]\( P(T) = 0.5 \)[/tex]
- Percent:
To convert the decimal to a percentage, multiply by 100:
[tex]\( P(T) = 0.5 \times 100 = 50\% \)[/tex]
Therefore, [tex]\( P(T) = \frac{1}{2} \text{ (reduced fraction)} = 0.5 \text{ (decimal)} = 50\% \)[/tex].
7. More likely outcome:
- To determine which outcome is more likely, compare the probabilities:
[tex]\( P(B) = 20\% \)[/tex]
[tex]\( P(T) = 50\% \)[/tex]
- Since 50% is greater than 20%, pulling out a tennis ball is more likely to occur than pulling out a baseball.
- Therefore, the more likely event is [tex]\( \text{tennis} \)[/tex].
8. Reason:
- This is because the probability of pulling out a tennis ball (50%) is higher than the probability of pulling out a baseball (20%).
So, the completed answer is:
A bag has 2 baseballs (B), 5 tennis balls (T), and 3 whiffle balls (W)
What is the probability of pulling out a baseball? Enter your answers in this order: reduced fraction, decimal, and then percent.
[tex]$ P(B)=1 / 5 \text { (reduced fraction) }=0.2 \text { (decimal) }=20 \% $[/tex]
This is an example of [tex]$\text{theoretical}$[/tex] probability.
How many outcomes are in the sample space? Outcomes [tex]$=$[/tex]
10
In this case, choosing a baseball is the outcome [tex]$\text{desired}$[/tex].
What is the probability of pulling out a tennis ball?
[tex]$ P(T)=1 / 2 \text { (reduced fraction) } 0.5 \text { (decimal) }=50 \% $[/tex]
Which is more likely to occur? [tex]$\text{tennis}$[/tex]
Why? [tex]$\text{Because the probability of pulling a tennis ball is higher.}$[/tex]
1. Items in the bag:
- There are a total of 2 baseballs (B), 5 tennis balls (T), and 3 whiffle balls (W).
- The total number of balls is [tex]\(2 + 5 + 3 = 10\)[/tex].
2. Probability of pulling out a baseball:
- Reduced Fraction:
The probability (P) of pulling out a baseball is given by the ratio of the number of baseballs to the total number of balls.
[tex]\( P(B) = \frac{\text{Number of baseballs}}{\text{Total number of balls}} = \frac{2}{10} = \frac{1}{5} \)[/tex]
- Decimal:
To convert this fraction to a decimal, divide the numerator by the denominator:
[tex]\( P(B) = 0.2 \)[/tex]
- Percent:
To convert the decimal to a percentage, multiply by 100:
[tex]\( P(B) = 0.2 \times 100 = 20\% \)[/tex]
Therefore, [tex]\( P(B) = \frac{1}{5} \text{ (reduced fraction)} = 0.2 \text{ (decimal)} = 20\% \)[/tex].
3. Type of probability:
- This is an example of theoretical probability as we are calculating probabilities based on the known quantities of the different types of balls.
4. Sample space:
- The sample space includes all possible outcomes. Since there are 10 balls in total, the number of outcomes in the sample space is 10.
- Outcomes [tex]\( = 10 \)[/tex].
5. Choosing a baseball:
- In this context, the event or outcome is defined as selecting a baseball from the sample space.
- Therefore, "choosing a baseball" is the outcome we are looking at.
6. Probability of pulling out a tennis ball:
- Reduced Fraction:
The probability (P) of pulling out a tennis ball is given by the ratio of the number of tennis balls to the total number of balls.
[tex]\( P(T) = \frac{\text{Number of tennis balls}}{\text{Total number of balls}} = \frac{5}{10} = \frac{1}{2} \)[/tex]
- Decimal:
To convert this fraction to a decimal, divide the numerator by the denominator:
[tex]\( P(T) = 0.5 \)[/tex]
- Percent:
To convert the decimal to a percentage, multiply by 100:
[tex]\( P(T) = 0.5 \times 100 = 50\% \)[/tex]
Therefore, [tex]\( P(T) = \frac{1}{2} \text{ (reduced fraction)} = 0.5 \text{ (decimal)} = 50\% \)[/tex].
7. More likely outcome:
- To determine which outcome is more likely, compare the probabilities:
[tex]\( P(B) = 20\% \)[/tex]
[tex]\( P(T) = 50\% \)[/tex]
- Since 50% is greater than 20%, pulling out a tennis ball is more likely to occur than pulling out a baseball.
- Therefore, the more likely event is [tex]\( \text{tennis} \)[/tex].
8. Reason:
- This is because the probability of pulling out a tennis ball (50%) is higher than the probability of pulling out a baseball (20%).
So, the completed answer is:
A bag has 2 baseballs (B), 5 tennis balls (T), and 3 whiffle balls (W)
What is the probability of pulling out a baseball? Enter your answers in this order: reduced fraction, decimal, and then percent.
[tex]$ P(B)=1 / 5 \text { (reduced fraction) }=0.2 \text { (decimal) }=20 \% $[/tex]
This is an example of [tex]$\text{theoretical}$[/tex] probability.
How many outcomes are in the sample space? Outcomes [tex]$=$[/tex]
10
In this case, choosing a baseball is the outcome [tex]$\text{desired}$[/tex].
What is the probability of pulling out a tennis ball?
[tex]$ P(T)=1 / 2 \text { (reduced fraction) } 0.5 \text { (decimal) }=50 \% $[/tex]
Which is more likely to occur? [tex]$\text{tennis}$[/tex]
Why? [tex]$\text{Because the probability of pulling a tennis ball is higher.}$[/tex]
We appreciate your time. Please come back anytime for the latest information and answers to your questions. We appreciate your time. Please revisit us for more reliable answers to any questions you may have. Thank you for choosing Westonci.ca as your information source. We look forward to your next visit.
