Question 18 of 27beginner🔧 ApplyNumerical2 marks

A bag has 3 candies: strawberry, lemon, and mint. One is picked at random. What is the probability of picking a strawberry candy?

Correct Answer

To find the probability of picking a strawberry candy, we use the formula for Theoretical Probability.

Number of possible outcomes: The bag contains a total of 3 candies (strawberry, lemon, and mint). So, there are 3 possible outcomes.

Number of favourable outcomes: There is only 1 strawberry candy in the bag. So, there is 1 favourable outcome.

Applying the formula: Probability = Number of favourable outcomes / Number of possible outcomes Probability = 1 / 3

Thus, the probability of picking a strawberry candy is 1/3.

Exercise: End-of-Chapter Exercises | Q: 5 | (Page 16)
For More Understanding

Explanation

The problem requires calculating the theoretical probability of a simple event. According to the textbook, Theoretical Probability (P) = Number of favourable outcomes / Number of possible outcomes. The favourable outcome is picking the 1 strawberry candy, and the total possible outcomes are the 3 candies in the bag. Thus, P = 1/3.

Solution Steps

  1. Step 1: Identify the total number of possible outcomes. The bag has 3 candies (strawberry, lemon, mint), so total possible outcomes = 3.

  2. Step 2: Identify the number of favourable outcomes. There is 1 strawberry candy, so favourable outcomes = 1.

  3. Step 3: Apply the probability formula: P = Number of favourable outcomes / Number of possible outcomes = 1 / 3.

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