Sure, let's address each part of the question step-by-step.
### Given:
We have 6 cards with the numbers 0, 1, 2, 3, 4, and 5.
### 1) Finding the probability of drawing a natural number:
Natural numbers, in this context, are 1, 2, 3, 4, and 5.
To calculate the probability:
- There are 5 natural numbers (1, 2, 3, 4, 5).
- Total number of cards = 6.
Therefore, the probability is:
[tex]\[ \frac{\text{Number of natural numbers}}{\text{Total number of cards}} = \frac{5}{6} = 0.8333333333333334 \][/tex]
### 2) Finding the probability of drawing a number less than 1:
The numbers less than 1 are just 0.
To calculate the probability:
- There is 1 number less than 1.
- Total number of cards = 6.
Therefore, the probability is:
[tex]\[ \frac{\text{Number of numbers less than 1}}{\text{Total number of cards}} = \frac{1}{6} = 0.16666666666666666 \][/tex]
### 3) Finding the probability of drawing a whole number:
Whole numbers in this context include all the numbers on the cards: 0, 1, 2, 3, 4, and 5.
To calculate the probability:
- All 6 cards are whole numbers.
- Total number of cards = 6.
Therefore, the probability is:
[tex]\[ \frac{\text{Number of whole numbers}}{\text{Total number of cards}} = \frac{6}{6} = 1.0 \][/tex]
### 4) Finding the probability of drawing a number greater than 5:
There are no numbers on the cards greater than 5.
To calculate the probability:
- There are 0 numbers greater than 5.
- Total number of cards = 6.
Therefore, the probability is:
[tex]\[ \frac{\text{Number of numbers greater than 5}}{\text{Total number of cards}} = \frac{0}{6} = 0 \][/tex]
### Summary of Probabilities:
1. Probability of drawing a natural number: 0.8333333333333334
2. Probability of drawing a number less than 1: 0.16666666666666666
3. Probability of drawing a whole number: 1.0
4. Probability of drawing a number greater than 5: 0.0
These are the probabilities for each of the specified events.
