A box contains 5 white and 3 black balls. What is the probability of drawing a b

Practice Questions

Q1
A box contains 5 white and 3 black balls. What is the probability of drawing a black ball?
  1. 3/8
  2. 5/8
  3. 1/2
  4. 1/3

Questions & Step-by-Step Solutions

A box contains 5 white and 3 black balls. What is the probability of drawing a black ball?
Correct Answer: 3/8
  • Step 1: Count the total number of balls in the box. There are 5 white balls and 3 black balls.
  • Step 2: Add the number of white balls and black balls together. So, 5 + 3 = 8 total balls.
  • Step 3: Identify how many of the balls are black. There are 3 black balls.
  • Step 4: To find the probability of drawing a black ball, divide the number of black balls by the total number of balls. So, 3 (black balls) / 8 (total balls) = 3/8.
  • Step 5: The probability of drawing a black ball is 3/8.
  • Probability – The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
  • Counting Outcomes – Understanding how to count the total number of outcomes (in this case, the total number of balls) is crucial for calculating probability.
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