Number 1 to 50 are written 50 separate cards(one number on one card) kept in a box and mixed well. One card is drawn at radom  from the box. Answer the following question. 1.what's the probability of getting a multiple of 5?.what's the probability of getting a number greater than 5?3)what's the probability of getting a multiple of 10? What is the probability of getting a prime number?what's the probability of getting a number divisible by 32?what's the probability of getting a number divisible by 72?what's the probability of getting a  an even number? ?

Let's tackle each probability question one by one.

### 1. Probability of getting a multiple of 5

The multiples of 5 between 1 and 50 are: 5, 10, 15, 20, 25, 30, 35, 40, 45, and 50.

There are 10 multiples of 5.

The total number of cards is 50.

The probability \( P \) is given by:
\[ P = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
\[ P(\text{multiple of 5}) = \frac{10}{50} = \frac{1}{5} = 0.2 \]

### 2. Probability of getting a number greater than 5

The numbers greater than 5 range from 6 to 50. 

This is a total of:
\[ 50 - 5 = 45 \]

The probability \( P \) is:
\[ P(\text{number greater than 5}) = \frac{45}{50} = \frac{9}{10} = 0.9 \]

### 3. Probability of getting a multiple of 10

The multiples of 10 between 1 and 50 are: 10, 20, 30, 40, and 50.

There are 5 multiples of 10.

The probability \( P \) is:
\[ P(\text{multiple of 10}) = \frac{5}{50} = \frac{1}{10} = 0.1 \]

### 4. Probability of getting a prime number

The prime numbers between 1 and 50 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, and 47.

There are 15 prime numbers.

The probability \( P \) is:
\[ P(\text{prime number}) = \frac{15}{50} = \frac{3}{10} = 0.3 \]

### 5. Probability of getting a number divisible by 32

The multiples of 32 between 1 and 50 are: 32.

There is 1 multiple of 32.

The probability \( P \) is:
\[ P(\text{divisible by 32}) = \frac{1}{50} = 0.02 \]

### 6. Probability of getting a number divisible by 72

The multiples of 72 between 1 and 50 are: None.

There are no multiples of 72.

The probability \( P \) is:
\[ P(\text{divisible by 72}) = \frac{0}{50} = 0 \]

### 7. Probability of getting an even number

The even numbers between 1 and 50 are: 2, 4, 6, 8, ..., 50.

There are 25 even numbers.

The probability \( P \) is:
\[ P(\text{even number}) = \frac{25}{50} = \frac{1}{2} = 0.5 \]

Would you like more details or have any other questions?

Here are 8 related questions that can further expand your understanding:

1. What is the probability of drawing a number less than 10?
2. What is the probability of drawing an odd number?
3. What is the probability of drawing a number that is a perfect square?
4. What is the probability of drawing a multiple of 7?
5. What is the probability of drawing a number that is both a multiple of 3 and 5?
6. What is the probability of drawing a number between 20 and 30 inclusive?
7. What is the probability of drawing a number that is a multiple of 4?
8. What is the probability of drawing a number that is a prime and less than 20?

**Tip:** When dealing with probability problems, it's helpful to list out the possible outcomes to ensure you consider all possibilities accurately.

Explore the concept of probability by drawing numbers from 1 to 50. Calculate probabilities of events like multiples of 5, numbers greater than 5, multiples of 10, prime numbers, even numbers, and more. Suitable for Grades 7-9 students learning about basic probability.

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