What is the probability of flipping a coin 10 times and getting heads four times Rania answer to the nearest 10th of a percent

Answer: 0.205

Step-by-step explanation:

The probability in one flip is equal to 0.5.

Now, if we do 10 flips, we want 4 times that the coin ends in heads and the other 6 times it must end in tails, so the probability is:

0.5^4*0.5^6 = 0.5^10

Now, this is the case where in the first 4 flips we get heads and in the other 6 we get tails, but we have other ways to get only 4 heads (for example in the last 4 flips, 2 at the beginning and 2 at the end, etc)

So we also need to calculate all the possible permutations of 4 heads in 10 flips. this is:

C = 10! / (10 - 4) !*4! = (10*9*8*7) / (4*3*2*1) = 210

So the probability that we are looking for is:

P = (0.5^10) * 210 = 0.205