45-733 Probability and Statistics I (3rd Mini AY 1999-2000 Flex-Mode and Flex-Time)
Assignment#2 Answers
æ3öæ5ö ç ÷ç ÷ è2øè2ø P(E) = --------- æ8ö ç ÷ è4ø2.37 Clearly, there are [52 choose 2] outcomes. There are 4 Aces and there are 12 Face cards (i.e., Jacks, Queens, Kings). Hence,
æ4öæ12ö ç ÷ç ÷ è1øè 1ø P(E) = --------- æ52ö ç ÷ è 2ø2.38 The number of ways to divide the 9 motors between the three production lines is
P(two to first line) =
=
P(M | Pc) =
=
= .4
P(A | F) =
=
*
= 14/17