A box contains 10 balls: 6 white and 4 black. If one ball is drawn at random, what is the probability that it is not black?

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Q: A box contains 10 balls: 6 white and 4 black. If one ball is drawn at random, what is the probability that it is not black?

Solution: The probability of not drawing a black ball = 6/10 = 3/5.

Steps: 7

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 4 black balls.
Step 3: Calculate how many balls are not black. Since there are 10 balls total and 4 are black, the number of balls that are not black is 10 - 4 = 6.
Step 4: Write down the probability formula. Probability is calculated as the number of favorable outcomes divided by the total number of outcomes.
Step 5: Substitute the values into the probability formula. The number of favorable outcomes (not black balls) is 6, and the total number of outcomes (total balls) is 10.
Step 6: Calculate the probability. So, the probability of not drawing a black ball is 6/10.
Step 7: Simplify the fraction. 6/10 can be simplified to 3/5.