Which of the following inequalities is graphed on the coordinate plane?

The 3rd option.

I think it's that one

(b) To have no winner within the first 6 tosses means that there must be 3 tails and 3 heads tossed. So we count how many ways can that happen. The number of ways to choose 3 heads (or tails, doesn't matter) from 6 tosses is

so 20 ways winthin the 6 tosses. but the question was "how many ways among the 128 of 7 tosses" so we need to add the 7th toss by multiplying by another 2 possibilities for the outcome of the 7th toss, giving us the among the 128 there are 40 games that are tied and need the 7th toss.

(c) The probability is the number of tied games (after 6 tosses) divided by the total number of possible configurations among 6 tosses: