Question

We will flip a balanced coin 3 times and for each toss, record whether we get a head or a tail. Write all possible outcomes of this experiment to find the probability that we get exactly 2 heads.

Answer 1

If you flip a coin 3 times, the probability of getting at least 2 heads is 3/7

Step-by-step explanation:

If you have a fair coin, and flip it three times, there are 8 possible outcomes:

HHH

HHT

HTH

HTT

THH

THT

TTH

TTT

The formulation of the question is a bit weird, but it seems to be meant as “at least one of the tosses was tails”. That means that, of the above table, we can dismiss the first row. Since all other outcomes are equally likely, each has a probability of 1/7 . There are 3 outcomes that have 1 tails and 2 heads. So our probability is 3×1/7=3/7 .