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A box contains 3 red balls and 2 blue balls. If one ball is drawn at random, wha

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Question: A box contains 3 red balls and 2 blue balls. If one ball is drawn at random, what is the probability that it is red?

Options:

  1. 1/5
  2. 2/5
  3. 3/5
  4. 4/5

Correct Answer: 3/5

Solution:

The total number of balls is 3 + 2 = 5. The number of red balls is 3. Therefore, the probability of drawing a red ball is 3/5.

A box contains 3 red balls and 2 blue balls. If one ball is drawn at random, wha

Practice Questions

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

Questions & Step-by-Step Solutions

A box contains 3 red balls and 2 blue balls. If one ball is drawn at random, what is the probability that it is red?
  • Step 1: Count the total number of balls in the box. There are 3 red balls and 2 blue balls.
  • Step 2: Add the number of red balls and blue balls together: 3 (red) + 2 (blue) = 5 (total balls).
  • Step 3: Identify how many of the balls are red. There are 3 red balls.
  • Step 4: To find the probability of drawing a red ball, use the formula: Probability = (Number of red balls) / (Total number of balls).
  • Step 5: Substitute the numbers into the formula: Probability = 3 (red balls) / 5 (total balls).
  • Step 6: The probability of drawing a red ball is 3/5.
  • Probability – The likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
  • Basic Counting – Understanding how to count the total number of items and the specific items of interest.
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