Question 6 of 27beginner🔧 ApplyNumerical2 marks

What is the probability of getting an even number when rolling a fair 6-sided die?

Correct Answer

1/2 (or 0.5 or 50%)

Exercise: EXERCISE SET 7.2 | Q: 5 | (Page 11)
For More Understanding

Explanation

The student must identify the sample space for rolling a 6-sided die and then isolate the favourable outcomes (even numbers). Applying the theoretical probability formula from the textbook yields the final answer.

Solution Steps

  1. Step 1: Identify the sample space and possible outcomes. When rolling a fair 6-sided die, the sample space is S = {1, 2, 3, 4, 5, 6}. Therefore, the Number of possible outcomes is 6.

  2. Step 2: Identify the favourable outcomes. The event is rolling an even number. The even numbers in the sample space are 2, 4, and 6. Therefore, the Number of favourable outcomes is 3.

  3. Step 3: Calculate the probability. Using the formula: Theoretical Probability (P) = Number of favourable outcomes / Number of possible outcomes P(even number) = 3 / 6 = 1/2 = 0.5 or 50%.

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