Question

If you flip 3 fair coins, what is the probability that you'll get at least 2 heads?

Answer 1

The probability of getting at least 2 heads when flipping 3 fair coins is 0.75.

Step-by-step explanation:

To find the probability of getting at least 2 heads when flipping 3 fair coins, we need to determine the number of favorable outcomes and divide it by the total number of possible outcomes. Let's analyze the different possible outcomes:

1. 0 heads: HHT, HTH, THH
2. 1 head: HTT, THT, TTH
3. 2 heads: HTH, THH, HHT, TTH, THT, HTT
4. 3 heads: HHH

The total number of possible outcomes is 2^3 = 8. So, the probability of getting at least 2 heads is (number of favorable outcomes) / (total number of possible outcomes) = (6) / (8) = 0.75.

Answer 2

Let's go through all of the possible scenarios. H=Heads T=Tails

HHH
HHT
HTT
HTH
THH
THT
TTH
TTT

4 of the 8 possible solutions ends with at least 2 heads.

P(2 heads)=4/8
Simplify
P(2 heads)=1/2 or 50%