A box contains 5 white and 3 black balls. If one ball is drawn at random, what is the probability that it is black?
Practice Questions
1 question
Q1
A box contains 5 white and 3 black balls. If one ball is drawn at random, what is the probability that it is black?
0.25
0.3
0.5
0.4
The total number of balls is 5 + 3 = 8. The probability of drawing a black ball is 3/8 = 0.375.
Questions & Step-by-step Solutions
1 item
Q
Q: A box contains 5 white and 3 black balls. If one ball is drawn at random, what is the probability that it is black?
Solution: The total number of balls is 5 + 3 = 8. The probability of drawing a black ball is 3/8 = 0.375.
Steps: 7
Step 1: Count the number of white balls in the box. There are 5 white balls.
Step 2: Count the number of black balls in the box. There are 3 black balls.
Step 3: Add the number of white balls and black balls together to find the total number of balls. 5 + 3 = 8.
Step 4: Identify how many of the balls are black. There are 3 black balls.
Step 5: To find the probability of drawing a black ball, divide the number of black balls by the total number of balls. This is 3 (black balls) divided by 8 (total balls).
Step 6: Write the probability as a fraction: 3/8.
Step 7: If needed, convert the fraction to a decimal. 3/8 = 0.375.
