A coin is tossed three times. What is the probability of getting at least one he

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Question: A coin is tossed three times. What is the probability of getting at least one head?

Options:

Correct Answer: 7/8

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.

A coin is tossed three times. What is the probability of getting at least one head?

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 7: Simplify the calculation: 1 - 1/8 = 8/8 - 1/8 = 7/8.
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.