Question

You toss 3 coins. What is the probability that you get exactly 3 heads, given that you get at least 1 head? (A tree diagram will help you to answer this question.)

Answer 1

(1/2)^3

Answer 2

oh no

Answer 3

there are 8 elements in your sample space
8 is not such a big number that you cannot list them all

Answer 4

\[HHH\\
HHT\\
HTH \\
THH\\
HTT\\
THT\\
TTH\\
TTT\]

Answer 5

of those 8 choices, 7 have at least one head

Answer 6

OH

Answer 7

oops of those seven 1 has 3 heads

Answer 8

your answer is therefore
\[\frac{1}{7}\]

Answer 9

Silly math. It's too late, go to bed