Let's address each part of your question step-by-step.
1. Probability of pulling out a baseball:
- We have a total of 2 baseballs, 5 tennis balls, and 3 whiffle balls, making a total of 2 + 5 + 3 = 10 balls.
- The probability of pulling out a baseball can be expressed as:
- Reduced fraction: [tex]\(\frac{2}{10}\)[/tex] which simplifies to [tex]\(\frac{1}{5}\)[/tex]
- Decimal: [tex]\(0.2\)[/tex]
- Percent: [tex]\(20\%\)[/tex]
So, the answer is:
[tex]\[
P(B) = \frac{1}{5} \text{ (reduced fraction) } 0.2 \text{ (decimal) } = 20\%
\][/tex]
2. Number of outcomes in the sample space:
- The sample space consists of all the possible outcomes, which are the 10 balls.
- Therefore, the number of outcomes is [tex]\(10\)[/tex].
So, the answer is:
[tex]\[
\text{Outcomes} = 10
\][/tex]
3. Choosing a baseball:
- This is an example of theoretical probability.
- Therefore, in this case, choosing a baseball is the [tex]\(\boxed{\text{theoretical probability}}\)[/tex].
4. Probability of pulling out a tennis ball:
- We have 5 tennis balls out of the total 10 balls.
- The probability of pulling out a tennis ball can be expressed as:
- Reduced fraction: [tex]\(\frac{5}{10}\)[/tex] which simplifies to [tex]\(\frac{1}{2}\)[/tex]
- Decimal: [tex]\(0.5\)[/tex]
- Percent: [tex]\(50\%\)[/tex]
So, the answer is:
[tex]\[
P(T) = \frac{1}{2} \text{ (reduced fraction) } = 0.5 \text{ (decimal) } = 50\%
\][/tex]
5. Which is more likely to occur?
- Pulling out a tennis ball is more likely (since 50% is higher than 20%).
So, the answer is:
[tex]\[
\boxed{\text{tennis}}
\][/tex]
6. Why?
- The probability of pulling out a tennis ball is closer to 1 (or 100%).
So, the answer is:
[tex]\[
\boxed{\text{Because the probability is closer to } 1}
\][/tex]
This completes all parts of the question.
