A bag contains 4 white balls and 6 black balls. If one ball is drawn at random,

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Question: A bag contains 4 white balls and 6 black balls. If one ball is drawn at random, what is the probability that it is black?

Options:

Correct Answer: 3/5

Solution:

The total number of balls is 4 + 6 = 10. The number of black balls is 6. Therefore, the probability of drawing a black ball is 6/10 = 3/5.

A bag contains 4 white balls and 6 black balls. If one ball is drawn at random, what is the probability that it is black?

A bag contains 4 white balls and 6 black balls. If one ball is drawn at random, what is the probability that it is black?

Step 1: Count the number of white balls in the bag. There are 4 white balls.
Step 2: Count the number of black balls in the bag. There are 6 black balls.
Step 3: Add the number of white balls and black balls together to find the total number of balls. 4 + 6 = 10.
Step 4: Identify how many of the total balls are black. There are 6 black balls.
Step 5: To find the probability of drawing a black ball, divide the number of black balls by the total number of balls. This is 6 (black balls) divided by 10 (total balls).
Step 6: Simplify the fraction 6/10. Both numbers can be divided by 2, which gives us 3/5.

Probability Calculation – Understanding how to calculate the probability of an event by dividing the number of favorable outcomes by the total number of possible outcomes.
Basic Counting Principles – Applying basic counting principles to determine the total number of items in a set.