If two coins are tossed, what is the probability of getting at least one head?

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Question: If two coins are tossed, what is the probability of getting at least one head?

Options:

Correct Answer: 3/4

Solution:

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

If two coins are tossed, what is the probability of getting at least one head?

If two coins are tossed, what is the probability of getting at least one head?

Step 1: Understand that we are tossing two coins.
Step 2: List all possible outcomes when tossing two coins. The outcomes are: HH (both heads), HT (first head, second tail), TH (first tail, second head), and TT (both 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 two coins.
Complementary Events – Recognizing that the probability of at least one head can also be calculated by finding the complement of getting no heads.