Question

A bag contains 4 yellow marbles and 6 red marbles. What is the probability of drawing a red marble at random?

• A. 0.4
• B. 0.6
• C. 0.3
• D. 0.5

Hint:

Convert fractions into decimals if options are in decimal form.

Answer 1

The Correct Option is B

To determine the probability of drawing a red marble from the bag, we first need to establish the total number of marbles and the number of favorable outcomes.

1. Calculate the total number of marbles in the bag:
   • Yellow marbles = 4
   • Red marbles = 6
   • Total marbles = 4 (yellow) + 6 (red) = \(10\) marbles
2. Determine the number of favorable outcomes:
   • Since we want to draw a red marble, the number of favorable outcomes is equal to the number of red marbles, which is \(6\).
3. Use the probability formula to calculate the probability of drawing a red marble:
   • Probability = \(\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}\)
   • Probability = \(\frac{6}{10}\)
   • Simplify the fraction: \(\frac{6}{10} = \frac{3}{5}\)
   • Convert the simplified fraction to decimal form: \(0.6\)

Thus, the probability of drawing a red marble is 0.6.

This matches the correct answer provided in the options: 0.6.