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

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

Options:

Correct Answer: 3/4

Solution:

Total outcomes = 4 (HH, HT, TH, TT). Outcomes with at least one head = 3. Probability = 3/4.

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

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.