# The coin is thrown 5 times. Find the probability of 3 times hitting heads.

July 24, 2021 | education

| Let’s find the probability using the Bernoulli formula. For a symmetric coin, the probability of an event A such that heads will come out is equal to the probability of the opposite event such that tails will come up:

p = q = 0.5;

P (A) = C (5,3) p ^ 3 q ^ 2;

C (5.3) = 5! / (3! 2!) = 4 5/2 = 10;

P (A) = 10 0.5 ^ 3 0.5 ^ 2 = 0.3125.

Answer: The probability of hitting heads three times is 0.3125.

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