If you were to flip a coin 4 times what is the probability of you getting heads at least 3 times?

The total number of outcomes you could get by flipping a coin 4 times is 2^4 or 16 ways as each coin toss yields two possible outcomes (Heads or Tails) and there are four trials. With that said, you need to find out how many ways there are to get 3 heads or 4 heads. You could use combinations to find this:

n C r = n! / [ r! (n-r)! ]

4 C 3 = 4! / [ 3! (4-3)! ]

4 C 3 = 4! / 3!

4 C 3 = 4 4 C 4 = 4! / [ 4! (4-4)! ]

4 C 4 = 4! / 4!

4 C 4 = 1 The total numbers of ways that one could get at least 3 H heads is equal to five (4 ways to get three heads, and one way to get 4 heads). So the probability of getting at least 3 heads in four tosses is equal to 5/16 or 31.25%.