A coin is tossed three times. What is the probability of getting at least one he
Practice Questions
Q1
A coin is tossed three times. What is the probability of getting at least one head?
1/8
1/2
7/8
3/8
Questions & Step-by-Step Solutions
A coin is tossed three times. What is the probability of getting at least one head?
Step 1: Understand that when a coin is tossed, there are two possible outcomes: heads (H) or tails (T).
Step 2: When the coin is tossed three times, we can have different combinations of heads and tails.
Step 3: Calculate the total number of outcomes when tossing the coin three times. Since there are 2 outcomes for each toss, the total outcomes are 2^3 = 8.
Step 4: Identify the outcome where there are no heads at all. This means all tosses result in tails (TTT). There is only 1 way to get this outcome.
Step 5: Calculate the probability of getting no heads (all tails). This is the number of ways to get all tails divided by the total outcomes: 1/8.
Step 6: To find the probability of getting at least one head, subtract the probability of getting no heads from 1: 1 - 1/8.
Step 8: Therefore, the probability of getting at least one head when tossing the coin three times is 7/8.
Probability of Independent Events – Understanding how to calculate the probability of independent events occurring, such as multiple coin tosses.
Complementary Probability – Using the complement rule to find the probability of at least one event occurring by calculating the probability of the event not occurring.
