hw1 - HOMEWORK 1 SOLUTIONS SJSU - Electrical Engineering...

Info iconThis preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
HOMEWORK 1 SOLUTIONS EE250 Spring 2009 SJSU - Electrical Engineering Problem 1 [10 points] a) A person draws 6 cards from a deck of 52 cards. What is the probability that he has a royal Fush? To obtain a royal Fush, he must have ace, king, queen, jack, and ten of the same suit. Solution: There are 4 possible royal Fushes using 5 cards. The 6th card can be any card (52-5 =47 possibilities). Hence, P ( Royal Flush ) = 4 × 47 C 52 6 . b) A house has 12 rooms (10 bedroom and 2 living rooms). We want to paint 4 yellow, 5 red and 3 purple. We do not want the living rooms to be the same color. In how many ways this can be done? Solution: You can choose 4 rooms you want to paint yellow; then, choose 5 rooms you want to paint red; the rest of them will be painted purple. N = C 12 4 C 8 5 . The number N includes the cases where the living rooms have the same color. Let’s count these: Let N Y ,N R ,N P denote the number of ways that the rooms can be painted when both of the living rooms are painted yellow, red, and purple respectively. N
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 3

hw1 - HOMEWORK 1 SOLUTIONS SJSU - Electrical Engineering...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online