Jimmy like to play cards. He wants to draw his favourite suit, hearts with replacement.

Q1. How many cards needed to draw before he has at least an 65% chance of drawing a heart?

Q2. What is the probability he draw his 3th heart on his 18th draw?

(c) If he draws nine cards, what is the probability at most one of them will be a heart?

(d) Do the same as in (c) but this time is under sampling without replacement. Please explain the reason of the following question.

Is this answer supposed to be close to the answer you got in part (c)?