If a coin is tossed twice, what is the probability of getting at least one head?

Practice Questions

Q1
If a coin is tossed twice, what is the probability of getting at least one head?
  1. 1/4
  2. 1/2
  3. 3/4
  4. 1

Questions & Step-by-Step Solutions

If a coin is tossed twice, what is the probability of getting at least one head?
  • Step 1: Understand that when a coin is tossed, it can land on either Heads (H) or Tails (T).
  • Step 2: When the coin is tossed twice, we can list all possible outcomes. The outcomes are: HH (Heads, Heads), HT (Heads, Tails), TH (Tails, Heads), and TT (Tails, Tails).
  • Step 3: Count the total number of outcomes. There are 4 outcomes: HH, HT, TH, TT.
  • Step 4: Identify the outcomes that have at least one head. The outcomes with at least one head are: HH, HT, and TH.
  • Step 5: Count the number of outcomes with at least one head. There are 3 outcomes: HH, HT, TH.
  • Step 6: Calculate the probability of getting at least one head. Probability = (Number of favorable outcomes) / (Total outcomes) = 3 / 4.
  • Probability – Understanding the likelihood of an event occurring, calculated as the number of favorable outcomes divided by the total number of possible outcomes.
  • Sample Space – The set of all possible outcomes of an experiment, in this case, the outcomes of tossing a coin twice.
  • Complementary Events – Recognizing that the probability of at least one head can also be calculated by finding the complement of getting no heads.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely