In an inclass activity I had students shuffle a standard dec

In an in-class activity, I had students shuffle a standard deck of cards, draw one card, put it back, draw
another card, put it back, etc. (with shuffling between draws). They did this until they observed two hearts.
a. What is the probability that it would take at least 6 draws to get two hearts?
b. One student in my class was frustrated that it took her more than 47 draws to get two hearts.
Was this single outcome unusual? (Note, do NOT calculate the actual probability of taking more
than 47 draws. – How can you determine if this is unusual in another way?)

Solution