If you flip a coin 3 times, what is the probability of flipping heads 3 times?

12.5% probability of flipping heads 3 times.

Step-by-step explanation:

For each coin, there are only two possible outcomes. Either it is heads, or it is tails. The probabilitis for each coin are also independent. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

In which is the number of different combinations of x objects from a set of n elements, given by the following formula.

And p is the probability of X happening.

In this problem we have that:

In each coin toss, heads or tails are equally as likely. So

If you flip a coin 3 times, what is the probability of flipping heads 3 times?

This is P(X = 3) when n = 3. So

12.5% probability of flipping heads 3 times.

example 2 – simplify: step 1: completely factor both the numerators and denominators of all fractions. step 2: change the division sign to a multiplication sign and flip (or reciprocate) the fraction after the division sign; essential you need to multiply by the reciprocal. step 3 : cancel or reduce the fractions.

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