A box contains 10 balls: 6 white and 4 black. If one ball is drawn at random, wh
Practice Questions
Q1
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?
1/5
2/5
3/5
4/5
Questions & Step-by-Step Solutions
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?
Correct Answer: 3/5
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.
Probability – The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
Complementary Events – The probability of an event not occurring can be found by subtracting the probability of the event occurring from 1.
