A box contains 10 balls, of which 4 are white and 6 are black. If one ball is dr

A box contains 10 balls, of which 4 are white and 6 are black. If one ball is drawn at random, what is the probability that it is black?

A box contains 10 balls, of which 4 are white and 6 are black. If one ball is drawn at random, what is the probability that it is black?

Step 1: Identify the total number of balls in the box. There are 10 balls in total.
Step 2: Identify how many of those balls are black. There are 6 black balls.
Step 3: Use the formula for probability, which is the number of favorable outcomes divided by the total number of outcomes.
Step 4: Substitute the numbers into the formula: Probability of drawing a black ball = Number of black balls / Total balls = 6 / 10.
Step 5: Simplify the fraction 6/10 to its lowest terms, which is 3/5.

Probability – The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
Basic Counting – Understanding how to count the total number of items and the specific items of interest.