1. Given a deck of 30 cards labelled with numbers 1- 10 (with 3 cards of each number), how many cards do we need to draw to guarantee: (a) we have drawn 3 cards of the same number3; (b) we have drawn a pair of cards that sum to 11.

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Give full reasoning to the way that is done and explain the formula you used and why that particular formula,or way that you did(doesn't have to be a formula) ?

1. Given a deck of 30 cards labelled with numbers 1-
10 (with 3 cards of each number), how many cards
do we need to draw to guarantee:
(a) we have drawn 3 cards of the same number;
(b) we have drawn a pair of cards that sum to 11.
Transcribed Image Text:1. Given a deck of 30 cards labelled with numbers 1- 10 (with 3 cards of each number), how many cards do we need to draw to guarantee: (a) we have drawn 3 cards of the same number; (b) we have drawn a pair of cards that sum to 11.
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