a group made up of 16 boys and 18 girls, we choose two random people. What is the probability that: a) the two people chosen are boys? b) the two people chosen are girls? c) a boy and a girl are chosen?

a group made up of 16 boys and 18 girls, we choose two random people. What is the probability that: a) the two people chosen are boys? b) the two people chosen are girls? c) a boy and a girl are chosen?

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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Question

In a group made up of 16 boys and 18 girls, we choose
two random people. What is the probability that:
a) the two people chosen are boys?
b) the two people chosen are girls?
c) a boy and a girl are chosen?

Expert Solution

Step 1: Given data,

$16 space minus b o y s 18 minus space g i r l s 34 minus space t o t a l space C h o o s e space t w o space r a n d o m space p e o p l e. W e space h a v e space t o space f i n d space o u t space t h e space p r o b a b i l i t i e s space f o r space t h e space g i v e n space d a t a.$

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