A box contains 10 balls numbered from 1 to 10. What is the probability of drawin

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Question: A box contains 10 balls numbered from 1 to 10. What is the probability of drawing a ball with an even number?

Options:

Correct Answer: 1/2

Solution:

Even numbers in the box are 2, 4, 6, 8, 10 (5 even numbers). Total balls = 10. Probability = 5/10 = 1/2.

A box contains 10 balls numbered from 1 to 10. What is the probability of drawing a ball with an even number?

A box contains 10 balls numbered from 1 to 10. What is the probability of drawing a ball with an even number?

Step 1: Identify the total number of balls in the box. There are 10 balls numbered from 1 to 10.
Step 2: Identify the even numbers among the balls. The even numbers are 2, 4, 6, 8, and 10.
Step 3: Count the number of even numbers. There are 5 even numbers.
Step 4: Calculate the total number of balls, which is 10.
Step 5: Use the formula for probability, which is the number of favorable outcomes (even numbers) divided by the total number of outcomes (total balls).
Step 6: Substitute the numbers into the formula: Probability = 5 (even numbers) / 10 (total balls).
Step 7: Simplify the fraction: 5/10 = 1/2.

Probability – The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
Even Numbers – Numbers that are divisible by 2, which in this case are 2, 4, 6, 8, and 10.
Total Outcomes – The total number of items in the sample space, which is 10 balls in this scenario.