A bag contains 10 balls where each ball is marked with a different number from 1 to 10. Two balls are taken at random without replacement. Find the probability that (i) both balls are marked with even numbers, (ii) the first ball is marked with number 5 and the second ball is marked with an odd number, (iii) exactly one ball is marked with a number greater than 6.

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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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A bag contains 10 balls where each ball is marked with a different number
from 1 to 10. Two balls are taken at random without replacement. Find the
probability that
(i)
both balls are marked with even numbers,
(ii)
the first ball is marked with number 5 and the second ball is marked
with an odd number,
(iii)
exactly one ball is marked with a number greater than 6.
The letters of the word "VACCINE" are to be arranged in a row. Find the
number of different arrangements if
(i)
there is no restriction,
(11)
the two C's must be separated,
(iii)
the arrangement begins with a vowel.
Transcribed Image Text:A bag contains 10 balls where each ball is marked with a different number from 1 to 10. Two balls are taken at random without replacement. Find the probability that (i) both balls are marked with even numbers, (ii) the first ball is marked with number 5 and the second ball is marked with an odd number, (iii) exactly one ball is marked with a number greater than 6. The letters of the word "VACCINE" are to be arranged in a row. Find the number of different arrangements if (i) there is no restriction, (11) the two C's must be separated, (iii) the arrangement begins with a vowel.
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