A box contains 3 red, 2 blue, and 5 green balls. If one ball is drawn at random,

Practice Questions

Q1
A box contains 3 red, 2 blue, and 5 green balls. If one ball is drawn at random, what is the probability that it is either red or blue?
  1. 0.5
  2. 0.25
  3. 0.625
  4. 0.75

Questions & Step-by-Step Solutions

A box contains 3 red, 2 blue, and 5 green balls. If one ball is drawn at random, what is the probability that it is either red or blue?
  • Step 1: Count the number of red balls in the box. There are 3 red balls.
  • Step 2: Count the number of blue balls in the box. There are 2 blue balls.
  • Step 3: Count the number of green balls in the box. There are 5 green balls.
  • Step 4: Add the total number of balls together: 3 red + 2 blue + 5 green = 10 total balls.
  • Step 5: Add the number of red and blue balls together: 3 red + 2 blue = 5 balls that are either red or blue.
  • Step 6: Calculate the probability of drawing a red or blue ball by dividing the number of red or blue balls by the total number of balls: 5 (red or blue) / 10 (total) = 0.5.
  • 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 items and the number of favorable items in a probability scenario.
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