Class 10 Exam > Class 10 Videos > 02 - Probability Based on Coin Experiment (Problem Solving) - Class 10 - Maths
02 - Probability Based on Coin Experiment (Problem Solving) - Class 10 - Maths Video Lecture
FAQs on 02 - Probability Based on Coin Experiment (Problem Solving) - Class 10 - Maths Video Lecture
| 1. What is the probability of getting heads on a fair coin? |  |
Ans. The probability of getting heads on a fair coin is 1/2 or 0.5. This is because there are only two possible outcomes (heads or tails) and each outcome has an equal chance of occurring.
| 2. How can we calculate the probability of getting a specific outcome in a coin experiment? | |
Ans. To calculate the probability of getting a specific outcome in a coin experiment, we need to determine the number of favorable outcomes (the desired outcome) and divide it by the total number of possible outcomes. For example, if we want to calculate the probability of getting heads, the number of favorable outcomes is 1 (since there is only one way to get heads) and the total number of possible outcomes is 2 (heads or tails).
| 3. What is the probability of getting at least one tail in two coin tosses? | |
Ans. To calculate the probability of getting at least one tail in two coin tosses, we need to find the probability of the complementary event (getting no tails) and subtract it from 1. The probability of getting no tails in two coin tosses is (1/2) * (1/2) = 1/4. Therefore, the probability of getting at least one tail is 1 - 1/4 = 3/4 or 0.75.
| 4. If we toss a fair coin three times, what is the probability of getting exactly two heads? | |
Ans. To calculate the probability of getting exactly two heads in three coin tosses, we need to determine the number of ways to get two heads out of three tosses and divide it by the total number of possible outcomes. The number of ways to get two heads out of three tosses is 3 (HHH, HHT, THH), and the total number of possible outcomes is 2^3 = 8. Therefore, the probability of getting exactly two heads is 3/8 or 0.375.
| 5. What is the probability of getting a tails on the first toss and a heads on the second toss of a fair coin? | |
Ans. Since the two coin tosses are independent events, the probability of getting a tails on the first toss and a heads on the second toss is the product of the probabilities of each event. The probability of getting tails on the first toss is 1/2 and the probability of getting heads on the second toss is also 1/2. Therefore, the probability of this specific outcome is (1/2) * (1/2) = 1/4 or 0.25.
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Nov 22, 2024 Last updated |
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