Five fair coins are tossed simultaneously. The probability of the events that at least one head comes up is
The probability of an event is a measure of the likelihood that the event will occur. It is calculated as the ratio of favorable outcomes to total possible outcomes. Probability values range from 0 (impossible event) to 1 (certain event). It helps in predicting outcomes in uncertain situations.
Class 12 Maths Probability is discussed in Chapter 13 for the CBSE Exam 2024-25. It includes key concepts like random experiments sample space independent and dependent events mutually exclusive and non-mutually exclusive events conditional probability and Bayes’ theorem. Understanding these topics is essential for solving real-life problems and performing well in exams.
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When five fair coins are tossed simultaneously the probability of getting at least one head is found using the complement rule
1. Total possible outcomes when tossing 5 coins = 2⁵ = 32
2. Only unfavorable outcome is getting all tails which happens in one way: TTTTT
3. Probability of getting all tails = 1/32
4. Probability of getting at least one head = 1 – P(all tails) = 1 – 1/32 = 31/32
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