A box contains 4 white, 5 black, and 6 red balls. What is the probability of pic

Practice Questions

Q1
A box contains 4 white, 5 black, and 6 red balls. What is the probability of picking a black ball?
  1. 1/3
  2. 5/15
  3. 1/4
  4. 5/15

Questions & Step-by-Step Solutions

A box contains 4 white, 5 black, and 6 red balls. What is the probability of picking a black ball?
Correct Answer: 1/3
  • Step 1: Count the number of white balls. There are 4 white balls.
  • Step 2: Count the number of black balls. There are 5 black balls.
  • Step 3: Count the number of red balls. There are 6 red balls.
  • Step 4: Add the number of all balls together: 4 (white) + 5 (black) + 6 (red) = 15 total balls.
  • Step 5: Identify how many of the total balls are black. There are 5 black balls.
  • Step 6: Calculate the probability of picking a black ball by dividing the number of black balls by the total number of balls: 5 (black) / 15 (total) = 1/3.
  • 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.
  • Total Outcomes – Recognizing the importance of correctly counting the total number of items in a sample space.
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