Question 29 of 42beginner🔧 ApplyNumerical2 marks

A coin is tossed 3 times and the outcomes are recorded. How many possible outcomes are there?

Correct Answer

8 possible outcomes

Exercise: EXERCISE 6.1 | Q: 5 | (Chapter: 5)
For More Understanding

Explanation

This question is from Exercise 6.1 and tests the application of the Fundamental Principle of Counting (Multiplication Principle). When a coin is tossed, there are 2 possible outcomes: Head (H) or Tail (T). Since the coin is tossed 3 times and each toss is independent of the others, we multiply the number of choices at each step. The calculation is 2×22 \times 2 × 2 = 8. The 8 possible outcomes are: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

Solution Steps

  1. Step 1: A coin has 2 possible outcomes: Head (H) or Tail (T).

  2. Step 2: Since the coin is tossed 3 times, and each toss is independent, we apply the multiplication principle.

  3. Step 3: Number of possible outcomes = 2×22 \times 2 × 2 = 8.

  4. Step 4: The 8 outcomes are: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.

PreviousNext