10 A bag contains 9 green marbles, 5 yellow marbles and 6 red marbles. You choose one marble. What is the probability of selecting a green or red marble? 6/11 2/3 8/15 3/4 - Previous

To solve this problem, we need to calculate the probability of selecting either a green or a red marble from the bag.Step 1: Determine the total number of marbles.The total number of marbles is the sum of green, yellow, and red marbles.Total marbles = 9 green + 5 yellow + 6 redTotal marbles = 9 + 5 + 6Total marbles = 20Step 2: Determine the number of favorable outcomes for selecting a green or red marble.Favorable outcomes for green marbles = 9Favorable outcomes for red marbles = 6Total favorable outcomes for green or red marbles = 9 + 6Total favorable outcomes = 15Step 3: Calculate the probability.The probability (P) of an event is given by the number of favorable outcomes divided by the total number of possible outcomes.P(green or red) = Total favorable outcomes for green or red / Total marblesP(green or red) = 15 / 20Step 4: Simplify the fraction.15/20 can be simplified by dividing both the numerator and the denominator by their greatest common divisor, which is 5.P(green or red) = (15 ÷ 5) / (20 ÷ 5)P(green or red) = 3 / 4Answer:The probability of selecting a green or red marble is \(\frac{3}{4}\).