A box contains 5 white and 3 black balls. If one ball is drawn at random, what i

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Question: A box contains 5 white and 3 black balls. If one ball is drawn at random, what is the probability that it is black?

Options:

Correct Answer: 0.3

Solution:

The total number of balls is 5 + 3 = 8. The probability of drawing a black ball is 3/8 = 0.375.

A box contains 5 white and 3 black balls. If one ball is drawn at random, what is the probability that it is black?

A box contains 5 white and 3 black balls. If one ball is drawn at random, what is the probability that it is black?

Correct Answer: 0.375

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.

Probability Calculation – Understanding how to calculate the probability of an event occurring based on the ratio of favorable outcomes to total outcomes.