A coin is tossed three times.Find the probability that at least 2 heads show up.
Question
Solution
Step 1: Identify the total number of outcomes When a coin is tossed three times, there are 2^3 = 8 possible outcomes (HHH, HHT, HTH, HTT, THH, THT, TTH, TTT).
Step 2: Identify the favorable outcomes The favorable outcomes are those in which at least 2 heads show up. These are HHH, HHT, HTH, and THH. So, there are 4 favorable outcomes.
Step 3: Calculate the probability The probability of an event is the number of favorable outcomes divided by the total number of outcomes. So, the probability that at least 2 heads show up when a coin is tossed three times is 4/8 = 0.5 or 50%.
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