A company is testing a new medicine for migraine headaches, In this study 150 women were given the medicine and an additional 100 women were given a placebo. Each participant was directed to take the medicine when the first symptoms of a migraine occurred and then record whether the headache went away within 45 minutes, The results are record below.

Headache went away Headache lingered

Given medicine 132 18

Given Placebo 56 44

If a study participant is selected at random, what is the probability she was given the placebo?

I a study participant's headache lingered, what is the probability she was given medicine?

If a participant is selected at random, what is the probability she was given the placebo or her headache went away in 45 minutes?