If a bag contains 2 white, 3 black, and 5 red balls, what is the probability of
Practice Questions
Q1
If a bag contains 2 white, 3 black, and 5 red balls, what is the probability of drawing a white ball?
1/5
1/4
1/2
1/10
Questions & Step-by-Step Solutions
If a bag contains 2 white, 3 black, and 5 red balls, what is the probability of drawing a white ball?
Correct Answer: 1/5
Step 1: Count the number of white balls in the bag. There are 2 white balls.
Step 2: Count the number of black balls in the bag. There are 3 black balls.
Step 3: Count the number of red balls in the bag. There are 5 red balls.
Step 4: Add the number of all the balls together: 2 (white) + 3 (black) + 5 (red) = 10 total balls.
Step 5: To find the probability of drawing a white ball, use the formula: Probability = (Number of favorable outcomes) / (Total number of outcomes).
Step 6: The number of favorable outcomes (white balls) is 2, and the total number of outcomes (total balls) is 10.
Step 7: Substitute the numbers into the formula: Probability = 2 / 10.
Step 8: Simplify the fraction: 2 / 10 = 1 / 5.
Probability Calculation – Understanding how to calculate the probability of an event by dividing the number of favorable outcomes by the total number of possible outcomes.