Question

(12 pts) 3. a Draw 10 cards at random and with replacement from a standard deck of cards. What is the probability that at most 2 of them are face cards? (A face card is a Jack, Queen, or King.) Suppose you deal 10 cards, without replacement, off the top of a well-shuffled deck. What is the probability that they are all hearts? In this problem, assume that the gender of any child that a couple has is equally likely to be male or female, and that the genders of successive children are independent. A couple has four children. Suppose you are told that the couple has at least two boys. Calculate the (conditional) probability that they have four boys. c.

Answer 1

4gunuing a foe ut X be tte euent rand PCx 20) A P(X1) + P(x2) PCX 2) regeing anfas 2 card) 3 geting face card ) 10 1.3 13 2. 1.1 C PCx 2 2 2 13 13 10 13 10 -7 17S46Sx 1D 6 2.63198 x1O 5. 26396 X 1D t -6 2.81271 X 10 O. 28127