I am picking cards out of a deck. What is the probability that I pull out 1 heart out of 5 cards if I pull with replacement? What if the condition is no replacement? What is the probability that first heart is the third card I draw (with replacement)?

There is one male baby seal for every nine female baby seals.  Approximately, what is the probability that you need to inspect exactly 10 baby seals until you find the first male?    What is the probability that you need to inspect at least 10 baby seals until you find the first male?

An urn contains 3 red balls, 5 green balls and 2 yellow balls. An experiment consists of picking 3 balls simultaneously. What is the probability that you pick at least 2 green balls?

A box contains 3 blue dice and 2 orange dice, a second box contains 2 blue dice and 5 orange dice, if a blue dice is drawn what is the probability that it came from the first box