
одну монету подбросили 4 раза .Какова вероятность того, что два раза орел, и два раза решка
выпадает ?

Ответы на вопрос




Probability of Getting Two Heads and Two Tails
To calculate the probability of getting two heads and two tails when a coin is flipped four times, we can use the formula for the probability of a specific combination of outcomes in independent events.
The probability of getting two heads and two tails can be calculated using the formula: P = (nCr) * (p^r) * (q^(n-r)) Where: - n = total number of trials (in this case, 4 coin flips) - r = number of successful trials (in this case, 2 heads and 2 tails) - p = probability of success on an individual trial (in this case, probability of getting heads) - q = probability of failure on an individual trial (in this case, probability of getting tails)
Calculation
Using the given information, we can calculate the probability step by step.1. Calculate the total number of possible outcomes (nCr): - nCr = 4C2 = 6
2. Calculate the probability of getting heads (p) and tails (q): - p = 1/2 (probability of getting heads) - q = 1/2 (probability of getting tails)
3. Substitute the values into the formula: - P = 6 * (1/2)^2 * (1/2)^2 - P = 6 * (1/4) * (1/4) - P = 6 * 1/16 - P = 6/16 - P = 3/8
Answer
Therefore, the probability of getting two heads and two tails when a coin is flipped four times is 3/8.[[SOURCE #1]]


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