GRE Exam > GRE Videos > Mathematics for GRE Paper II > Probability of Equally Likely Events (Tossing a Coin)
Probability of Equally Likely Events (Tossing a Coin) Video Lecture | Mathematics for GRE Paper II
FAQs on Probability of Equally Likely Events (Tossing a Coin) Video Lecture - Mathematics for GRE Paper II
| 1. What is the probability of getting heads when tossing a fair coin? |  |
Ans. The probability of getting heads when tossing a fair coin is 0.5 or 50%. This is because there are two equally likely outcomes - heads or tails - and each outcome has an equal chance of occurring.
| 2. What is the probability of getting tails when tossing a fair coin? | |
Ans. The probability of getting tails when tossing a fair coin is also 0.5 or 50%. Just like getting heads, getting tails also has an equal chance of occurring because there are only two possible outcomes.
| 3. If I toss a fair coin five times, what is the probability of getting exactly three heads? | |
Ans. To calculate the probability of getting exactly three heads when tossing a fair coin five times, we can use the binomial probability formula. The formula is P(X=k) = (nCk) * (p^k) * (q^(n-k)), where n is the number of trials, k is the number of successful outcomes, p is the probability of success, and q is the probability of failure. In this case, n=5, k=3, p=0.5, and q=0.5. Plugging these values into the formula, we get P(X=3) = (5C3) * (0.5^3) * (0.5^(5-3)) = 10 * 0.125 * 0.25 = 0.3125 or 31.25%.
| 4. What is the probability of getting at least one head when tossing a fair coin twice? | |
Ans. To calculate the probability of getting at least one head when tossing a fair coin twice, we can subtract the probability of getting no heads from 1. The probability of getting no heads is equal to the probability of getting two tails, which is (0.5 * 0.5) = 0.25. Therefore, the probability of getting at least one head is 1 - 0.25 = 0.75 or 75%.
| 5. If I toss a fair coin three times, what is the probability of getting more heads than tails? | |
Ans. To calculate the probability of getting more heads than tails when tossing a fair coin three times, we need to consider all possible outcomes. There are eight possible outcomes: HHH, HHT, HTH, THH, TTH, THT, HTT, TTT. Out of these eight outcomes, four have more heads than tails: HHH, HHT, HTH, and THH. Therefore, the probability of getting more heads than tails is 4/8 = 0.5 or 50%.
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