Practice Problems for  the Lander Math Contest
Module 4, Problems (10-12)

10)        An unfair coin with a 70% probability of
drawing a head in one toss, is tossed 10 times.
a) What is the probability of getting exactly one   
head?
b) What is the probability of getting at least two
heads?

11)        A math club consisting of 14 people decided
to chose at random a board of four people:
president, vice president, treasurer and secretary.
a) What is the probability that the president will be
Esther, the vice president –Chana, the treasurer –
Rivka, and the secretary – Sarah?
b) [Challenge Question] What is the probability that
the board will consist of Esther, Chana, Rivka and
Sarah?

12)         In a card game with 36 cards (deck consists
of aces, 6s, 7s, 8s, 9s 10s, jacks, queens and kings-
4 of each) find the probability that in a “hand’ of 12
cards there will be exactly four kings.