A box contains 10 balls, 4 of which are red. If one ball is drawn at random, wha

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Question: A box contains 10 balls, 4 of which are red. If one ball is drawn at random, what is the probability that it is red? (2020)

Options:

Correct Answer: 1/2

Exam Year: 2020

Solution:

Probability of drawing a red ball = Number of red balls / Total balls = 4/10 = 2/5.

A box contains 10 balls, 4 of which are red. If one ball is drawn at random, what is the probability that it is red? (2020)

A box contains 10 balls, 4 of which are red. If one ball is drawn at random, what is the probability that it is red? (2020)

Step 1: Identify the total number of balls in the box. There are 10 balls.
Step 2: Identify how many of those balls are red. There are 4 red balls.
Step 3: Write down the formula for probability. Probability = (Number of favorable outcomes) / (Total outcomes).
Step 4: Substitute the numbers into the formula. Probability of drawing a red ball = 4 (red balls) / 10 (total balls).
Step 5: Simplify the fraction 4/10. Divide both the numerator and the denominator by 2 to get 2/5.
Step 6: Conclude that the probability of drawing a red ball is 2/5.

Probability – The likelihood of an event occurring, calculated as the ratio of favorable outcomes to total outcomes.
Basic Counting – Understanding how to count the number of favorable outcomes (red balls) and total outcomes (all balls) in a sample space.