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

Practice Questions

Q1
A box contains 4 white and 6 black balls. If one ball is drawn at random, what is the probability that it is black?
  1. 2/5
  2. 3/5
  3. 4/5
  4. 1/5

Questions & Step-by-Step Solutions

A box contains 4 white and 6 black balls. If one ball is drawn at random, what is the probability that it is black?
Correct Answer: 3/5
  • Step 1: Count the number of white balls in the box. There are 4 white balls.
  • Step 2: Count the number of black balls in the box. 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 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. This can be simplified to 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.
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