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Answer:
The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.
Step-by-step explanation:
We can use basic binomial distribution, which is given by the formula:
Where <em>n</em> represent the number of trials, <em>x</em> represent the number of successes desired, <em>p</em> represent the chance of success, and <em>q</em> represent the chance of failure.
Since we are flipping a coin 10 times, we are conducting 10 trials. So, <em>n</em> = 10.
We want to probability that it lands on heads exactly 7 out of 10 times. So, the number of desired successes <em>x</em> is 7.
The probability of success <em>p</em> is 1/2.
And the probability of failure <em>q</em> is also 1/2.
Substituting:
The probability of flipping a coin 10 times and it landing on heads exactly seven times is about 0.1172 or 11.72%.