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

₹0.0

Question: If two coins are tossed, what is the probability of getting at least one tail? (2023)

Options:

Correct Answer: 3/4

Exam Year: 2023

Solution:

The possible outcomes are HH, HT, TH, TT. The outcomes with at least one tail are HT, TH, TT (3 outcomes). So, the probability is 3/4.

If two coins are tossed, what is the probability of getting at least one tail? (2023)

If two coins are tossed, what is the probability of getting at least one tail? (2023)

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), TT (both tails).
Step 3: Count the total number of outcomes. There are 4 outcomes: HH, HT, TH, TT.
Step 4: Identify which outcomes have at least one tail. The outcomes with at least one tail are HT, TH, and TT.
Step 5: Count the number of outcomes with at least one tail. There are 3 outcomes: HT, TH, TT.
Step 6: Calculate the probability of getting at least one tail. The probability is the number of favorable outcomes (3) divided by the total number of outcomes (4).
Step 7: Write the probability as a fraction: 3/4.

Probability – Understanding the likelihood of an event occurring based on possible outcomes.
Sample Space – The set of all possible outcomes from an experiment, in this case, tossing two coins.
Complementary Events – Recognizing that the probability of at least one tail can also be calculated by finding the complement of getting no tails.