Get detailed and accurate responses to your questions on IDNLearn.com. Join our Q&A platform to receive prompt and accurate responses from knowledgeable professionals in various fields.
Sagot :
To determine the probability of tossing heads and rolling a number less than 5, we need to follow these steps:
1. Understand the sample space:
- The sample space includes all possible outcomes when tossing a coin and rolling a number cube.
- For heads (H), the outcomes are H1, H2, H3, H4, H5, and H6.
- For tails (T), the outcomes are T1, T2, T3, T4, T5, and T6.
- Thus, the total number of outcomes is 12, which includes 6 outcomes for heads and 6 for tails.
2. Identify favorable outcomes:
- We want the outcomes where the coin shows heads and the number rolled is less than 5.
- These outcomes are H1, H2, H3, and H4.
3. Count the number of favorable outcomes:
- The number of favorable outcomes (tossing heads and rolling a number less than 5) is 4.
4. Calculate the probability:
- Probability is calculated as the number of favorable outcomes divided by the total number of outcomes.
[tex]\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \][/tex]
- Here, the number of favorable outcomes is 4, and the total number of outcomes is 12.
[tex]\[ \text{Probability} = \frac{4}{12} = \frac{1}{3} \][/tex]
So, the probability of tossing heads and rolling a number less than 5 is approximately 0.3333, or [tex]\(\frac{1}{3}\)[/tex] when expressed as a fraction.
1. Understand the sample space:
- The sample space includes all possible outcomes when tossing a coin and rolling a number cube.
- For heads (H), the outcomes are H1, H2, H3, H4, H5, and H6.
- For tails (T), the outcomes are T1, T2, T3, T4, T5, and T6.
- Thus, the total number of outcomes is 12, which includes 6 outcomes for heads and 6 for tails.
2. Identify favorable outcomes:
- We want the outcomes where the coin shows heads and the number rolled is less than 5.
- These outcomes are H1, H2, H3, and H4.
3. Count the number of favorable outcomes:
- The number of favorable outcomes (tossing heads and rolling a number less than 5) is 4.
4. Calculate the probability:
- Probability is calculated as the number of favorable outcomes divided by the total number of outcomes.
[tex]\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \][/tex]
- Here, the number of favorable outcomes is 4, and the total number of outcomes is 12.
[tex]\[ \text{Probability} = \frac{4}{12} = \frac{1}{3} \][/tex]
So, the probability of tossing heads and rolling a number less than 5 is approximately 0.3333, or [tex]\(\frac{1}{3}\)[/tex] when expressed as a fraction.
We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Your questions find answers at IDNLearn.com. Thanks for visiting, and come back for more accurate and reliable solutions.