A jar contains 5 red, 3 blue, and 2 yellow marbles. If one marble is drawn, what

Practice Questions

Q1
A jar contains 5 red, 3 blue, and 2 yellow marbles. If one marble is drawn, what is the probability that it is either red or yellow?
  1. 1/2
  2. 2/5
  3. 4/10
  4. 7/10

Questions & Step-by-Step Solutions

A jar contains 5 red, 3 blue, and 2 yellow marbles. If one marble is drawn, what is the probability that it is either red or yellow?
  • Step 1: Count the number of red marbles. There are 5 red marbles.
  • Step 2: Count the number of blue marbles. There are 3 blue marbles.
  • Step 3: Count the number of yellow marbles. There are 2 yellow marbles.
  • Step 4: Add the total number of marbles together. 5 red + 3 blue + 2 yellow = 10 total marbles.
  • Step 5: Count the number of marbles that are either red or yellow. There are 5 red + 2 yellow = 7 marbles.
  • Step 6: Calculate the probability of drawing a red or yellow marble. This is done by dividing the number of red or yellow marbles by the total number of marbles: 7 / 10.
  • Step 7: The final probability of drawing either a red or yellow marble is 7/10.
  • 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 and favorable outcomes in a probability scenario.
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