A box contains 10 balls, 4 of which are white and the rest are black. If one bal
Practice Questions
Q1
A box contains 10 balls, 4 of which are white and the rest are 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, 4 of which are white and the rest are black. If one ball is drawn at random, what is the probability that it is not black?
Step 1: Identify the total number of balls in the box. There are 10 balls.
Step 2: Determine how many of those balls are white. There are 4 white balls.
Step 3: Calculate the number of non-black balls. Since there are 4 white balls, the non-black balls are 4.
Step 4: Write down the total number of balls again, which is 10.
Step 5: To find the probability of drawing a non-black ball, use the formula: Probability = (Number of non-black balls) / (Total number of balls).
Step 6: Substitute the numbers into the formula: Probability = 4 / 10.
Step 7: Simplify the fraction 4/10 to get 2/5.
Probability – The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
Complementary Events – Understanding that the probability of an event not occurring can be derived from the total outcomes minus the favorable outcomes.