A bag contains 3 red balls and 5 black balls. If a ball is drawn at random from the bag, then the probability of getting a red ball is
- \(\frac{1}{2}\)
- \(\frac{3}{4}\)
- \(\frac{5}{8}\)
- \(\frac{3}{8}\)
The Correct Option is D
Approach Solution - 1
Given: A bag contains 3 red balls and 5 black balls.
Step 1: Understanding the Probability of Selecting a Red Ball
Total balls = 3 + 5 = 8
Red balls = 3
Step 2: Probability Calculation
Probability of selecting a red ball = Number of red balls / Total number of balls
= 3 / 8
Final Answer: 3 / 8
Approach Solution -2
The problem involves finding the probability of drawing a red ball from a bag containing 3 red balls and 5 black balls.
To determine the probability of an event, use the formula:
Probability of an event = (Number of favorable outcomes) / (Total number of possible outcomes)
In this case, the favorable outcome is drawing a red ball. T
herefore, the number of favorable outcomes is the number of red balls, which is 3.
The total number of possible outcomes is the total number of balls, which is the sum of red and black balls:
Total number of balls: 3 (red) + 5 (black) = 8
Now, apply the probability formula:
Probability of drawing a red ball = Number of red balls / Total number of balls = 3 / 8
Thus, the probability of drawing a red ball is \(\frac{3}{8}\).
The correct answer is \(\frac{3}{8}\).
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