A coin is tossed three times. What is the probability of getting at least one head?
Practice Questions
1 question
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
Probability of getting no heads (all tails) = (1/2)^3 = 1/8. Therefore, probability of at least one head = 1 - 1/8 = 7/8.
Questions & Step-by-step Solutions
1 item
Q
Q: A coin is tossed three times. What is the probability of getting at least one head?
Solution: Probability of getting no heads (all tails) = (1/2)^3 = 1/8. Therefore, probability of at least one head = 1 - 1/8 = 7/8.
Steps: 8
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.
